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Some Approximation Properties for Modified Baskakov Type Operators

Some Approximation Properties for Modified Baskakov Type Operators We study some direct results for the recently introduced family of modified Baskakov type operators. In particular, we obtain local direct results on ordinary and simultaneous approximation and an estimation of error for linear combinations in terms of higher order modulus of continuity. We have applied the Steklov mean as a tool for the linear approximating method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Some Approximation Properties for Modified Baskakov Type Operators

Gupta, Vijay
Georgian Mathematical Journal , Volume 12 (2) – Jun 1, 2005
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References (13)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2005.217
Publisher site
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Abstract

We study some direct results for the recently introduced family of modified Baskakov type operators. In particular, we obtain local direct results on ordinary and simultaneous approximation and an estimation of error for linear combinations in terms of higher order modulus of continuity. We have applied the Steklov mean as a tool for the linear approximating method.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Jun 1, 2005

Keywords: Lebesgue integrable functions; direct results; simultaneous approximation; Steklov mean; linear combinations

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