Different Durrmeyer Variants of Baskakov Operators

Vijay Gupta ()
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Vijay Gupta: Netaji Subhas Institute of Technology

A chapter in Topics in Mathematical Analysis and Applications, 2014, pp 419-446 from Springer

Abstract: Abstract The present article deals with the different Durrmeyer type modifications of the well-known Baskakov. These operators came into existence almost 28 years ago when in the year 1985 the Baskakov Durrmeyer operators were introduced. After that several approximation properties of such operators were studied extensively. The present article is an attempt to present some of the results and the approximation properties of the different Durrmeyer type modifications of the classical Baskakov operators. We also give here the alternate form of some of the operators in terms of hypergeometric functions. In the last section, we present some results for mixed operators related to convergence.

Keywords: Baskakov Durrmeyer operators; Simultaneous approximation; Linear combinations; Asymptotic formula; Inverse theorem; Saturation theorem; Steklov mean; Hypergeometric functions; q Baskakov Durrmeyer operators. (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-06554-0_17

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DOI: 10.1007/978-3-319-06554-0_17

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