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Approximation By Complex Bernstein And Convolution Type Operators

Af: Sorin G Gal Engelsk Hardback

Approximation By Complex Bernstein And Convolution Type Operators

Af: Sorin G Gal Engelsk Hardback
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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, Bernstein—Faber, Bernstein-Butzer, q-Bernstein, Bernstein-Stancu, Bernstein-Kantorovich, Favard-Szász-Mirakjan, Baskakov and Balázs-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 Vallée Poussin, Fejér, 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 (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.
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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, Bernstein—Faber, Bernstein-Butzer, q-Bernstein, Bernstein-Stancu, Bernstein-Kantorovich, Favard-Szász-Mirakjan, Baskakov and Balázs-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 Vallée Poussin, Fejér, 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 (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.
Produktdetaljer
Sprog: Engelsk
Sider: 352
ISBN-13: 9789814282420
Indbinding: Hardback
Udgave:
ISBN-10: 9814282421
Udg. Dato: 12 aug 2009
Længde: 24mm
Bredde: 174mm
Højde: 256mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 12 aug 2009
Forfatter(e): Sorin G Gal
Forfatter(e) Sorin G Gal


Kategori Kompleks analyse, komplekse variabler


ISBN-13 9789814282420


Sprog Engelsk


Indbinding Hardback


Sider 352


Udgave


Længde 24mm


Bredde 174mm


Højde 256mm


Udg. Dato 12 aug 2009


Oplagsdato 12 aug 2009


Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge