On integral bernstein operators in some classes of measurable bivariate functions | Zendy

Roman Taberski | Zendy

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On integral bernstein operators in some classes of measurable bivariate functions

Author(s) -

Roman Taberski

Publication year - 1994

Publication title -

georgian mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.277

H-Index - 27

eISSN - 1572-9176

pISSN - 1072-947X

DOI - 10.1007/bf02254733

Subject(s) - mathematics , bivariate analysis , complex plane , section (typography) , bernstein polynomial , fourier integral operator , pure mathematics , approximations of π , mathematical analysis , measurable function , operator theory , bounded function , statistics , advertising , business

The two main theorems are concerned with the approximations of (complex-valued) functions on the real plane by sums of Bernstein pseudoentire functions. They are formulated and proved in Section 4, after prior determination of the suitable integral operators. Analogous results for pseudopolynomial approximations were obtained by Brudnyî, Gonska, and Jetter ([2],[3]).

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