The Resource Global Smoothness and Shape Preserving Interpolation by Classical Operators, by Sorin G. Gal, (electronic resource)

Global Smoothness and Shape Preserving Interpolation by Classical Operators, by Sorin G. Gal, (electronic resource)

Label
Global Smoothness and Shape Preserving Interpolation by Classical Operators
Title
Global Smoothness and Shape Preserving Interpolation by Classical Operators
Statement of responsibility
by Sorin G. Gal
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grünwald, Hermite-Fejér and Shepard type. One of the first books on the subject, it presents interesting new results alongwith an excellent survey of past research. Key features include: - potential applications to data fitting, fluid dynamics, curves and surfaces, engineering, and computer-aided geometric design - presents recent work featuring many new interesting results as well as an excellent survey of past research - many interesting open problems for future research presented throughout the text - includes 20 very suggestive figures of nine types of Shepard surfaces concerning their shape preservation property - generic techniques of the proofs allow for easy application to obtaining similar results for other interpolation operators This unique, well-written text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure and applied mathematicians in numerical analysis, approximation theory, data fitting, computer-aided geometric design, fluid mechanics, and engineering researchers
http://library.link/vocab/creatorName
Gal, Sorin G
Dewey number
511/.42
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
38Fs02tloT8
Language note
English
LC call number
QA297-299.4
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Numerical analysis
  • Operator theory
  • Functions of complex variables
  • Mathematics
  • Engineering mathematics
  • Numerical Analysis
  • Operator Theory
  • Functions of a Complex Variable
  • Approximations and Expansions
  • Real Functions
  • Mathematical and Computational Engineering
Label
Global Smoothness and Shape Preserving Interpolation by Classical Operators, by Sorin G. Gal, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [139]-143) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Global Smoothness Preservation, Univariate Case -- Partial Shape Preservation, Univariate Case -- Global Smoothness Preservation, Bivariate Case -- Partial Shape Preservation, Bivariate Case
Dimensions
unknown
Edition
1st ed. 2005.
Extent
1 online resource (157 p.)
Form of item
online
Isbn
9781280619410
Media category
computer
Media type code
  • c
Other control number
10.1007/b137115
Specific material designation
remote
System control number
  • (CKB)1000000000282807
  • (EBL)303108
  • (OCoLC)228394650
  • (SSID)ssj0000163575
  • (PQKBManifestationID)11171647
  • (PQKBTitleCode)TC0000163575
  • (PQKBWorkID)10118267
  • (PQKB)10231804
  • (DE-He213)978-0-8176-4401-7
  • (MiAaPQ)EBC303108
  • (EXLCZ)991000000000282807
Label
Global Smoothness and Shape Preserving Interpolation by Classical Operators, by Sorin G. Gal, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [139]-143) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Global Smoothness Preservation, Univariate Case -- Partial Shape Preservation, Univariate Case -- Global Smoothness Preservation, Bivariate Case -- Partial Shape Preservation, Bivariate Case
Dimensions
unknown
Edition
1st ed. 2005.
Extent
1 online resource (157 p.)
Form of item
online
Isbn
9781280619410
Media category
computer
Media type code
  • c
Other control number
10.1007/b137115
Specific material designation
remote
System control number
  • (CKB)1000000000282807
  • (EBL)303108
  • (OCoLC)228394650
  • (SSID)ssj0000163575
  • (PQKBManifestationID)11171647
  • (PQKBTitleCode)TC0000163575
  • (PQKBWorkID)10118267
  • (PQKB)10231804
  • (DE-He213)978-0-8176-4401-7
  • (MiAaPQ)EBC303108
  • (EXLCZ)991000000000282807

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