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The Resource Nonlinear Analysis : Stability, Approximation, and Inequalities, edited by Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, (electronic resource)
Nonlinear Analysis : Stability, Approximation, and Inequalities, edited by Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, (electronic resource)
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The item Nonlinear Analysis : Stability, Approximation, and Inequalities, edited by Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Nonlinear Analysis : Stability, Approximation, and Inequalities, edited by Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings. This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work
 Language

 eng
 eng
 Edition
 1st ed. 2012.
 Extent
 1 online resource (897 p.)
 Note
 Description based upon print version of record
 Contents

 Preface
 1. Bounds of Jensen’s Type Inequality and Eigenvalues of SturmLiouville System (S. Abramovich)
 2. Quadratic Operators and Quadratic Functional Equation (M. Adam, S. Czerwik)
 3. On the Regions Containing All the Zeros of a Polynomial (C. AffaneAji, N.K. Govil)
 4. Some Remarks on the Group of Isometries of a Metric Space (D. Andrica, V. Bulgarean)
 5. Rationality of the Moduli Space of Stable Pairs over a Complex Curve (I. Biswas, M. Logares, V. Muñoz)
 6. Generalized pvalent Janowski ClosetoConvex Functions and Their Applications to the Harmonic Mappings (D. Breaz, Y. Polatoglu, N. Breaz)
 7. Remarks on Stability of the Linear Functional Equation in Single Variable (J. Brzdęk, D. Popa, B. Xu)
 8. On a Curious qhypergeometric Identity (M. J. Cantero, A. Iserles)
 9. Jensen and Quadratic Functional Equations on Semigroups (E.A. Chávez, P.K. Sahoo)
 10. On Bohr’s Inequalities (W.S. Cheung, G. Leng, J. Pečarić, D. Zhao)
 11. Orlicz Norm Inequalities for Conjugate Harmonic Forms (S. Ding, Y. Xing)
 12. A Survey on Jessen’s Type Inequalities for Positive Functionals (S.S. Dragomir)
 13. On Approximate Biquadratic Bihomomorphisms and Biquadratic Biderivations in C*ternary algebras and quasiBanach algebras (A. Ebadian, N. Ghobadipour)
 14. Fixed points approach to the stability of the quadratic functional equation (E. Elhoucien, M. Youssef)
 15. Bohr’s Inequality Revisited (M. Fujii, M. S. Moslehian, J. Mićić)
 16. HyersUlamRassias Stability of Orthogonal Additive Mappings (P. Găvruţa and L. Găvruţa)
 17. Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras (M.E. Gordji, N. Ghobadipour, A. Ebadian, M. B. Savadkouhi, C. Park)
 18. Approximately Cubic n−derivations on Non–archimedean Banach Algebras (F. Habibian, R. Bolghanabadi, M.E. Gordji)
 19. Fuzzy Stability of a Quadraticadditive Type Functional Equation (S. S. Jin, Y.H. Lee)
 20. Generalized HyersUlam Stability of Cauchy–Jensen Functional Equations (K.W. Jun, H.M. Kim, E. Y. Son)
 21. A Fixed Point Approach to the Stability of the Gamma Functional Equation (S.M. Jung)
 22. Random Stability of An AQCQ Functional Equation: A Fixed Point Approach (H.A. Kenary)
 23. Basis Sets in Banach Spaces (S.V. Konyagin, Y.V. Malykhin)
 24. Inequalities for Trigonometric Sums (S. Koumandos)
 25. On Vandiver’s Best Result on FLT1 (P. Mihăilescu)
 26. Multiple Orthogonality and Applications in Numerical Integration (G. V. Milovanović, M.P. Stanić)
 27. Approximate C∗Algebra Homomorphisms Associated to an Apollonius  Jensen type Additive Mapping; A Fixed Point Approach (F. Moradlou, G. Z. Eskandani)
 28. The Fučík Spectrum for the Negative pLaplacian with Different Boundary Conditions (D. Motreanu, P. Winkert)
 29. Korovkin Type Approximation Theorem for Almost and Statistical Convergence (M. Mursaleen, S. A. Mohiuddine)
 30. On the Stability of an Additive (A. Najati)
 31. Existence Results for Extended General Nonconvex Quasivariational Inequalities (M.A. Noor, K.I. Noor, E. AlSaid)
 32. Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities (M.A. Noor, K.I. Noor, E. AlSaid)
 33. On the Asymptotic Behavior of Solutions to General Linear Functional Equations (B. Paneah)
 34. On the Stability of an Additive and Quadratic Functional Equation (C. Park)
 35. Classification and Stability of Functional Equations (C. Park, M. E. Gordji, R. Saadati)
 36. Exotic nd’Alembert PDE’s and Stability (A. Prástaro)
 37. Stability of Affine Approximations on Bounded Domains (V.Y. Protasov)
 38. Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and BiUnivalent Analytic Functions (H. M. Srivastava)
 39. The Hyers–Ulam and the Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Setvalued Generalizations (Á. Száz)
 40. Spectral Analysis and Spectral Synthesis (L. Székelyhidi)
 41. Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky (A. A. Ungar)
 42. HilbertType Integral Operators: Norms and Inequalities (B. Yang)
 43. On the Stability of the Pexiderized Sine Functional Equation (X. Zhao, X. Yang)
 44. Stability of Additivequadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces (W. Zhihua, Z. Wanxiong)
 Isbn
 9781280802775
 Label
 Nonlinear Analysis : Stability, Approximation, and Inequalities
 Title
 Nonlinear Analysis
 Title remainder
 Stability, Approximation, and Inequalities
 Statement of responsibility
 edited by Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava
 Language

 eng
 eng
 Summary
 Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings. This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work
 Dewey number
 515.8
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 rpbZrebOiSk
 9k8RC3n_iQg
 udMS0cyGK0
 Language note
 English
 LC call number
 QA402.5402.6
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Pardalos, Panos M.
 Georgiev, Pando G.
 Srivastava, Hari M.
 Series statement

 Springer optimization and its applications,
 Springer Optimization and Its Applications,
 Series volume

 v. 68
 68
 http://library.link/vocab/subjectName

 Mathematical optimization
 Mathematics
 Systems theory
 Optimization
 Approximations and Expansions
 Systems Theory, Control
 Label
 Nonlinear Analysis : Stability, Approximation, and Inequalities, edited by Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Preface  1. Bounds of Jensen’s Type Inequality and Eigenvalues of SturmLiouville System (S. Abramovich)  2. Quadratic Operators and Quadratic Functional Equation (M. Adam, S. Czerwik)  3. On the Regions Containing All the Zeros of a Polynomial (C. AffaneAji, N.K. Govil)  4. Some Remarks on the Group of Isometries of a Metric Space (D. Andrica, V. Bulgarean)  5. Rationality of the Moduli Space of Stable Pairs over a Complex Curve (I. Biswas, M. Logares, V. Muñoz)  6. Generalized pvalent Janowski ClosetoConvex Functions and Their Applications to the Harmonic Mappings (D. Breaz, Y. Polatoglu, N. Breaz)  7. Remarks on Stability of the Linear Functional Equation in Single Variable (J. Brzdęk, D. Popa, B. Xu)  8. On a Curious qhypergeometric Identity (M. J. Cantero, A. Iserles)  9. Jensen and Quadratic Functional Equations on Semigroups (E.A. Chávez, P.K. Sahoo)  10. On Bohr’s Inequalities (W.S. Cheung, G. Leng, J. Pečarić, D. Zhao)  11. Orlicz Norm Inequalities for Conjugate Harmonic Forms (S. Ding, Y. Xing)  12. A Survey on Jessen’s Type Inequalities for Positive Functionals (S.S. Dragomir)  13. On Approximate Biquadratic Bihomomorphisms and Biquadratic Biderivations in C*ternary algebras and quasiBanach algebras (A. Ebadian, N. Ghobadipour)  14. Fixed points approach to the stability of the quadratic functional equation (E. Elhoucien, M. Youssef)  15. Bohr’s Inequality Revisited (M. Fujii, M. S. Moslehian, J. Mićić)  16. HyersUlamRassias Stability of Orthogonal Additive Mappings (P. Găvruţa and L. Găvruţa)  17. Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras (M.E. Gordji, N. Ghobadipour, A. Ebadian, M. B. Savadkouhi, C. Park)  18. Approximately Cubic n−derivations on Non–archimedean Banach Algebras (F. Habibian, R. Bolghanabadi, M.E. Gordji)  19. Fuzzy Stability of a Quadraticadditive Type Functional Equation (S. S. Jin, Y.H. Lee)  20. Generalized HyersUlam Stability of Cauchy–Jensen Functional Equations (K.W. Jun, H.M. Kim, E. Y. Son)  21. A Fixed Point Approach to the Stability of the Gamma Functional Equation (S.M. Jung)  22. Random Stability of An AQCQ Functional Equation: A Fixed Point Approach (H.A. Kenary)  23. Basis Sets in Banach Spaces (S.V. Konyagin, Y.V. Malykhin)  24. Inequalities for Trigonometric Sums (S. Koumandos)  25. On Vandiver’s Best Result on FLT1 (P. Mihăilescu)  26. Multiple Orthogonality and Applications in Numerical Integration (G. V. Milovanović, M.P. Stanić)  27. Approximate C∗Algebra Homomorphisms Associated to an Apollonius  Jensen type Additive Mapping; A Fixed Point Approach (F. Moradlou, G. Z. Eskandani)  28. The Fučík Spectrum for the Negative pLaplacian with Different Boundary Conditions (D. Motreanu, P. Winkert)  29. Korovkin Type Approximation Theorem for Almost and Statistical Convergence (M. Mursaleen, S. A. Mohiuddine)  30. On the Stability of an Additive (A. Najati)  31. Existence Results for Extended General Nonconvex Quasivariational Inequalities (M.A. Noor, K.I. Noor, E. AlSaid)  32. Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities (M.A. Noor, K.I. Noor, E. AlSaid)  33. On the Asymptotic Behavior of Solutions to General Linear Functional Equations (B. Paneah)  34. On the Stability of an Additive and Quadratic Functional Equation (C. Park)  35. Classification and Stability of Functional Equations (C. Park, M. E. Gordji, R. Saadati)  36. Exotic nd’Alembert PDE’s and Stability (A. Prástaro)  37. Stability of Affine Approximations on Bounded Domains (V.Y. Protasov)  38. Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and BiUnivalent Analytic Functions (H. M. Srivastava)  39. The Hyers–Ulam and the Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Setvalued Generalizations (Á. Száz)  40. Spectral Analysis and Spectral Synthesis (L. Székelyhidi)  41. Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky (A. A. Ungar)  42. HilbertType Integral Operators: Norms and Inequalities (B. Yang)  43. On the Stability of the Pexiderized Sine Functional Equation (X. Zhao, X. Yang)  44. Stability of Additivequadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces (W. Zhihua, Z. Wanxiong)
 Dimensions
 unknown
 Edition
 1st ed. 2012.
 Extent
 1 online resource (897 p.)
 Form of item
 online
 Isbn
 9781280802775
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461434986
 Specific material designation
 remote
 System control number

 (CKB)2670000000229948
 (EBL)972100
 (OCoLC)798209163
 (SSID)ssj0000696260
 (PQKBManifestationID)11426518
 (PQKBTitleCode)TC0000696260
 (PQKBWorkID)10681409
 (PQKB)11380033
 (DEHe213)9781461434986
 (MiAaPQ)EBC972100
 (EXLCZ)992670000000229948
 Label
 Nonlinear Analysis : Stability, Approximation, and Inequalities, edited by Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Preface  1. Bounds of Jensen’s Type Inequality and Eigenvalues of SturmLiouville System (S. Abramovich)  2. Quadratic Operators and Quadratic Functional Equation (M. Adam, S. Czerwik)  3. On the Regions Containing All the Zeros of a Polynomial (C. AffaneAji, N.K. Govil)  4. Some Remarks on the Group of Isometries of a Metric Space (D. Andrica, V. Bulgarean)  5. Rationality of the Moduli Space of Stable Pairs over a Complex Curve (I. Biswas, M. Logares, V. Muñoz)  6. Generalized pvalent Janowski ClosetoConvex Functions and Their Applications to the Harmonic Mappings (D. Breaz, Y. Polatoglu, N. Breaz)  7. Remarks on Stability of the Linear Functional Equation in Single Variable (J. Brzdęk, D. Popa, B. Xu)  8. On a Curious qhypergeometric Identity (M. J. Cantero, A. Iserles)  9. Jensen and Quadratic Functional Equations on Semigroups (E.A. Chávez, P.K. Sahoo)  10. On Bohr’s Inequalities (W.S. Cheung, G. Leng, J. Pečarić, D. Zhao)  11. Orlicz Norm Inequalities for Conjugate Harmonic Forms (S. Ding, Y. Xing)  12. A Survey on Jessen’s Type Inequalities for Positive Functionals (S.S. Dragomir)  13. On Approximate Biquadratic Bihomomorphisms and Biquadratic Biderivations in C*ternary algebras and quasiBanach algebras (A. Ebadian, N. Ghobadipour)  14. Fixed points approach to the stability of the quadratic functional equation (E. Elhoucien, M. Youssef)  15. Bohr’s Inequality Revisited (M. Fujii, M. S. Moslehian, J. Mićić)  16. HyersUlamRassias Stability of Orthogonal Additive Mappings (P. Găvruţa and L. Găvruţa)  17. Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras (M.E. Gordji, N. Ghobadipour, A. Ebadian, M. B. Savadkouhi, C. Park)  18. Approximately Cubic n−derivations on Non–archimedean Banach Algebras (F. Habibian, R. Bolghanabadi, M.E. Gordji)  19. Fuzzy Stability of a Quadraticadditive Type Functional Equation (S. S. Jin, Y.H. Lee)  20. Generalized HyersUlam Stability of Cauchy–Jensen Functional Equations (K.W. Jun, H.M. Kim, E. Y. Son)  21. A Fixed Point Approach to the Stability of the Gamma Functional Equation (S.M. Jung)  22. Random Stability of An AQCQ Functional Equation: A Fixed Point Approach (H.A. Kenary)  23. Basis Sets in Banach Spaces (S.V. Konyagin, Y.V. Malykhin)  24. Inequalities for Trigonometric Sums (S. Koumandos)  25. On Vandiver’s Best Result on FLT1 (P. Mihăilescu)  26. Multiple Orthogonality and Applications in Numerical Integration (G. V. Milovanović, M.P. Stanić)  27. Approximate C∗Algebra Homomorphisms Associated to an Apollonius  Jensen type Additive Mapping; A Fixed Point Approach (F. Moradlou, G. Z. Eskandani)  28. The Fučík Spectrum for the Negative pLaplacian with Different Boundary Conditions (D. Motreanu, P. Winkert)  29. Korovkin Type Approximation Theorem for Almost and Statistical Convergence (M. Mursaleen, S. A. Mohiuddine)  30. On the Stability of an Additive (A. Najati)  31. Existence Results for Extended General Nonconvex Quasivariational Inequalities (M.A. Noor, K.I. Noor, E. AlSaid)  32. Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities (M.A. Noor, K.I. Noor, E. AlSaid)  33. On the Asymptotic Behavior of Solutions to General Linear Functional Equations (B. Paneah)  34. On the Stability of an Additive and Quadratic Functional Equation (C. Park)  35. Classification and Stability of Functional Equations (C. Park, M. E. Gordji, R. Saadati)  36. Exotic nd’Alembert PDE’s and Stability (A. Prástaro)  37. Stability of Affine Approximations on Bounded Domains (V.Y. Protasov)  38. Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and BiUnivalent Analytic Functions (H. M. Srivastava)  39. The Hyers–Ulam and the Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Setvalued Generalizations (Á. Száz)  40. Spectral Analysis and Spectral Synthesis (L. Székelyhidi)  41. Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky (A. A. Ungar)  42. HilbertType Integral Operators: Norms and Inequalities (B. Yang)  43. On the Stability of the Pexiderized Sine Functional Equation (X. Zhao, X. Yang)  44. Stability of Additivequadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces (W. Zhihua, Z. Wanxiong)
 Dimensions
 unknown
 Edition
 1st ed. 2012.
 Extent
 1 online resource (897 p.)
 Form of item
 online
 Isbn
 9781280802775
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461434986
 Specific material designation
 remote
 System control number

 (CKB)2670000000229948
 (EBL)972100
 (OCoLC)798209163
 (SSID)ssj0000696260
 (PQKBManifestationID)11426518
 (PQKBTitleCode)TC0000696260
 (PQKBWorkID)10681409
 (PQKB)11380033
 (DEHe213)9781461434986
 (MiAaPQ)EBC972100
 (EXLCZ)992670000000229948
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