Approximation Theory
Moduli of Continuity and Global Smoothness Preservation
Published in March 2000
Book
Hardback
540 pages
978-3-7643-4151-0 (ISBN)
Description
The key features of this text include: a study of the computation of moduli of continuity and GSPP; motivation and examples for key results; extensive applications of moduli of smoothness and GSPP concepts to approximation theory; probability theory; and numerical and functional analysis.
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George A. Anastassiou | Sorin G. Gal
Approximation Theory
Moduli of Continuity and Global Smoothness Preservation
Book
12/1999
Birkhauser Boston Inc
€106.99
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Content
Part 1 Calculus of the moduli of smoothness in classes of functions: uniform moduli of smoothness; LP-moduli of smoothness; moduli of smoothness of special type. Part 2 Global smoothness preservation by linear operators: global smoothness preservation by trigonometric operators; global smoothness preservation by algebraic interpolation operators; global smoothness preservation by general operators; global smoothness preservation by multivariate operators; stochastic global smoothness preservation; shift invariant univariate integral operators; shift invariant multivariate integral operators; differentiated shift invariant univariate integral operators; differentiated shift invariant multivariate integral operators; generalised shift invariant univariate integral operators; generalised shift invariant multivariate integral operators; general theory of global smoothness preservation by univariate singular integrals; general theory of global smoothness preservation by multivariate singular integrals; Ginska progress in global smoothness preservation; miscellaneous progress on global smoothness preservation; other applications of the global smoothness preservation property. References; list of symbols.