Year 2019, Volume 9, Issue 4, 936 - 948, 01.12.2019

A. KUMAR - VANDANA

Abstract

APPROXIMATION BY STANCU TYPE JAKIMOVSKI-LEVIATAN-PǍLTǍNEA OPERATORS

Abstract

The present article deals with the general family of summation-integral type operators. Here, we introduce the Stancu type generalization of the Jakimovski-Leviatan- Paltanea operators and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Also, we propose a king type modication of these operators to obtain better estimates.

Keywords

Voronovskaja-type theorem, K-functional, Appell polynomials, rate of convergence, modulus of continuity, weighted approximation.

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