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Rate of Approximation for Certain Szasz–Mirakyan–Durrmeyer Operators

Rate of Approximation for Certain Szasz–Mirakyan–Durrmeyer Operators We study a certain integral modification of the well known Szasz–Mirakyan operators with a weight function of a general Baskakov basis function. We establish some direct results on a simultaneous approximation for these new operators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Rate of Approximation for Certain Szasz–Mirakyan–Durrmeyer Operators

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References (7)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2009.475
Publisher site
See Article on Publisher Site

Abstract

We study a certain integral modification of the well known Szasz–Mirakyan operators with a weight function of a general Baskakov basis function. We establish some direct results on a simultaneous approximation for these new operators.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Sep 1, 2009

Keywords: Szasz–Mirakyan operators; Baskakov operators; direct theorems; asymptotic formula; error estimation

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