On the degree of approximation of functions of two variables by some operators | Zendy

L. Rempulska | Zendy; Mariola Skorupka | Zendy

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On the degree of approximation of functions of two variables by some operators

Author(s) -

L. Rempulska,

Mariola Skorupka

Publication year - 2005

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2005.09.07

Subject(s) - baskakov operator , mathematics , degree (music) , operator theory , shift theorem , polynomial , type (biology) , spectral theorem , variable (mathematics) , bernstein polynomial , pure mathematics , microlocal analysis , discrete mathematics , mathematical analysis , fourier integral operator , danskin's theorem , brouwer fixed point theorem , physics , fixed point theorem , ecology , acoustics , biology

We introduce operators of Szász-Mirakyan and Baskakov type in polynomial weighted spaces of functions of two variables. We prove a theorem on the degree of approximation and a Voronovskaya type theorem for these operators. Similar results for Bernstein, Szász-Mirakyan and Baskakov operators of functions of one variable were given in [3-6].

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