Approximation by Complex Bernstein and Convolution Type Operators: 8 (Series on Concrete & Applicable Mathematics) - Image 1

£52.45

Scientific Publishing Approximation by Complex Bernstein and Convolution Type Operators: 8 (Series on Concrete & Applicable Mathematics)

Name: Approximation by Complex Bernstein and Convolution Type Operators: 8 (Series on Concrete & Applicable Mathematics)
Brand: Scientific Publishing
Price: 52.45 GBP
Availability: InStock

Complex Analysis

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Description

The 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, BernsteinFaber, BernsteinButzer, q-Bernstein, BernsteinStancu, BernsteinKantorovich, FavardSzászMirakjan, Baskakov and BalázsSzabados. The second main objective is to provide a study of the approximation and geometric properties of several types of complex convolutions: the de la Vallée Poussin, Fejér, Riesz-Zygmund, Jackson, Rogosinski, Picard, PoissonCauchy, GaussWeierstrass, q-Picard, q-GaussWeierstrass, PostWidder, rotation-invariant, Sikkema and nonlinear. Several applications to partial differential equations (PDEs) are also 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.

Product Specifications

Brand: Scientific Publishing
Format: hardcover
ASIN: 9814282421
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Complex Analysis
Domain: Amazon UK
Release Date: 11 October 2009
Listed Since: 08 June 2009

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Scientific Publishing Approximation by Complex Bernstein and Convolution Type Operators: 8 (Series on Concrete & Applicable Mathematics)

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