On Baskakov operators preserving the exponential function

doi:10.33993/jnaat462-1110

On Baskakov operators preserving the exponential function

2017-11-08

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DOI：10.33993/jnaat462-1110

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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.

On Baskakov operators preserving the exponential function

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