2000Unpublished venueRequires access

On Approximation of Classes of Functions of Certain Operators

Guo Shun

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Abstract

Feller operators are definded.Feller operators include some classical operators such as Bernstein,Szasz,Baskakov,Gamma,Weierstrass operators. Using some probabilitic methods,study the approximation of classes of functions for Feller operators and their modified forms,and obtain some general results.

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What this paper is about

Feller operators are definded.Feller operators include some classical operators such as Bernstein,Szasz,Baskakov,Gamma,Weierstrass operators. Using some probabilitic methods,study the approximation of classes of functions for Feller operators and their modified forms,and obtain some general results.

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Available abstract

Feller operators are definded.Feller operators include some classical operators such as Bernstein,Szasz,Baskakov,Gamma,Weierstrass operators. Using some probabilitic methods,study the approximation of classes of functions for Feller operators and their modified forms,and obtain some general results.

Key concepts: Baskakov operator, Mathematics, Operator theory, Microlocal analysis, Spectral theorem, Constant coefficients, Fourier integral operator, Pure mathematics

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