On LP-Approximation for Modified Baskakov Durrmeyer Type Operators

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Published: 2009-09-15
Keywords:
Baskakov operators, Lp-approximation, Direct results, Asymptotic formula, Error estimation

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M. K. Gupta
Department of Mathematics Chaudhary Charan Singh University, Meerut, India
Somya
Department of Mathematics Chaudhary Charan Singh University, Meerut, India

Abstract

In the present paper, we study a certain integral modification of the well known Baskakov operators with the weight function of Beta basis function. We establish asymptotic Voronovskaja type asymptotic formula and error estimation in Lp-approximation for these operators. The linear approximating method, namely steklov mean is used to prove the main result.

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Vol. 13 No. 3 (2009): Table of Content

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Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

1.
On LP-Approximation for Modified Baskakov Durrmeyer Type Operators. J. Int. Acad. Phys. Sci. [Internet]. 2009 Sep. 15 [cited 2026 Oct. 23];13(3):311-25. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/196

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