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Approximation By Complex Bernstein And Convolution Type Operators

Language EnglishEnglish
Book Hardback
Book Approximation By Complex Bernstein And Convolution Type Operators Sorin G. Gal
Libristo code: 05069834
Publishers World Scientific Publishing Co Pte Ltd, August 2009
This monograph, as its first main goal, aims to study the overconvergence phenomenon of important cl... Full description
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This monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. The operators studied are of the following types: Bernstein, Bernstein-Faber, Bernstein-Butzer, q-Bernstein, Bernstein-Stancu, Bernstein-Kantorovich, Favard-Szasz-Mirakjan, Baskakov and Balazs-Szabados. The second main objective is to provide a study of the approximation and geometric properties of several types of complex convolutions: the de la Vallee Poussin, Fejer, Riesz-Zygmund, Jackson, Rogosinski, Picard, Poisson-Cauchy, Gauss-Weierstrass, q-Picard, q-Gauss-Weierstrass, Post-Widder, rotation-invariant, Sikkema and nonlinear. Several applications to partial differential equations (PDE) also are presented. Many of the open problems encountered in the studies are proposed at the end of each chapter. For further research, the monograph suggests and advocates similar studies for other complex Bernstein-type operators, and for other linear and nonlinear convolutions.

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About the book

Full name Approximation By Complex Bernstein And Convolution Type Operators
Author Sorin G. Gal
Language English
Binding Book - Hardback
Date of issue 2009
Number of pages 352
EAN 9789814282420
ISBN 9814282421
Libristo code 05069834
Weight 740
Dimensions 174 x 256 x 24
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