Direct result on exponential-type operators

doi:10.1016/j.amc.2008.06.005

2008-10-01

PRE

Naokant Deo *

DOI：10.1016/j.amc.2008.06.005

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摘要

En 中文

In this paper, we obtain a direct result and Voronovskaya type asymptotic formula for the exponential-type operators in simultaneous approximation with polynomial growth. In the end, we obtain the recurrence formulae for the central moments, direct results and Voronovskaya type asymptotic formulae for the various mixed summation-integral type operators. (C) 2008 Elsevier Inc. All rights reserved.

Keyword:

Bernstein operator

Szasz-Mirakian operator

Baskakov operator

Beta operator

Voronovskaya formula

simultaneous approximation