On Baskakov operators preserving the exponential function

Ovgu Gurel Yilmaz; Vijay Gupta; Ali Aral

doi:10.33993/jnaat462-1110

Authors

Ovgu Gurel Yilmaz Department of Mathematics, Faculty of Sciences, Ankara University, Turkey
Vijay Gupta Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110078, India
Ali Aral Department of Mathematics, Faculty of Sciences and Arts, Kırıkkale University, Turkey

DOI:

https://doi.org/10.33993/jnaat462-1110

Keywords:

Baskakov operators, King type operators, Voronovskaya type theorems, modulus of continuity

Abstract views: 491

Abstract

In this paper, we are concerned about the King-type Baskakov operators defined by means of the preserving functions \(e_{0}\) and \(e^{2ax},\ a>0\) fixed.

Using the modulus of continuity, we show the uniform convergence of new operators to \(f\). Also, by analyzing the asymptotic behavior of King-type operators with a Voronovskaya-type theorem, we establish shape preserving properties using the generalized convexity.

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References

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