Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

Vijay Gupta; Michael Th. Rassias

doi:10.33993/jnaat502-1235

Authors

Vijay Gupta Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi, India
Michael Th. Rassias Department of Mathematics and Engineering Sciences, Hellenic Military Academy, Greece and Institute for Advanced Study, Program in Interdisciplinary Studies, Princeton, USA

DOI:

https://doi.org/10.33993/jnaat502-1235

Keywords:

Approximation Theory, Ismail-May operators, Baskakov basis, asymptotic formula, simultaneous approximation, weighted Korovkin's theorem

Abstract views: 221

Abstract

In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic formula in simultaneous approximation.

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References

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