Title of article
APPROXIMATION BY STANCU TYPE JAKIMOVSKI-LEVIATAN-PAˇLTAˇNEA OPERATORS
Author/Authors
KUMAR, ALOK Department of Com. Science - Dev Sanskriti Vishwavidyalaya - Haridwar - Uttarakhand, India , VANDANA Department of Management Studies - Indian Institute of Technology - Madras, Tamil Nadu
Pages
13
From page
936
To page
948
Abstract
The present article deals with the general family of summation-integral type
operators. Here, we introduce the Stancu type generalization of the Jakimovski-LeviatanPˇaltˇanea 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 modification of these
operators to obtain better estimates.
Keywords
Voronovskaja-type theorem , K-functional , Appell polynomials , rate of convergence , modulus of continuity , weighted approximation
Journal title
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Serial Year
2019
Record number
2587314
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