Approximation by Complex Bernstein and Convolution Type Operators pdf epub mobi txt 电子书下载 2024

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Sorin G. Gal

2009-8

352

$ 121.00

9789814282420

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发表于2024-11-28

Approximation by Complex Bernstein and Convolution Type Operators epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Approximation by Complex Bernstein and Convolution Type Operators pdf epub mobi txt 电子书下载 2024

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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.

Approximation by Complex Bernstein and Convolution Type Operators 下载 mobi epub pdf txt 电子书