Approximation Theory Moduli of Continuity and Global Smoothness Preservation

We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then presen...

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Bibliographic Details
Main Authors: Anastassiou, George A., Gal, Sorin G. (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser Boston 2000, 2000
Edition:1st ed. 2000
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 1.1 On Chapter 2: Uniform Moduli of Smoothness
  • 1.2 On Chapter 3: LP-Moduli of Smoothness, 1 ?p Trigonometric Operators
  • 6 Global Smoothness Preservation by Algebraic Interpolation Operators
  • 7 Global Smoothness Preservation by General Operators
  • 8 Global Smoothness Preservation by Multivariate Operators
  • 9 Stochastic Global Smoothness Preservation
  • 10 Shift Invariant Univariate Integral Operators
  • 11 Shift Invariant Multivariate Integral Operators
  • 12 Differentiated Shift Invariant Univariate Integral Operators
  • 13 Differentiated Shift Invariant Multivariate Integral Operators
  • 14 Generalized Shift Invariant Univariate Integral Operators
  • 15 Generalized Shift Invariant Multivariate Integral Operators
  • 16 General Theory of Global Smoothness Preservation by Univariate Singular Operators
  • 17 General Theory of Global Smoothness Preservation by Multivariate Singular Operators
  • 18 Gonska Progress in Global Smoothness Preservation
  • 19 Miscellaneous Progress in Global Smoothness Preservation
  • 20 Other Applications of the Global Smoothness Preservation Property
  • References
  • List of Symbols