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http://dx.doi.org/10.14317/jami.2018.015

APPROXIMATION BY GENUINE LUPAŞ-BETA-STANCU OPERATORS  

KUMAR, ALOK (Department of Computer Science, Dev Sanskriti Vishwavidyalaya)
VANDANA, VANDANA (Department of Management Studies, Indian Institute of Technology)
Publication Information
Journal of applied mathematics & informatics / v.36, no.1_2, 2018 , pp. 15-28 More about this Journal
Abstract
In this paper, we introduce a Stancu type generalization of genuine LupaŞ-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.
Keywords
Voronovskaja-type theorem; K-functional; rate of convergence; modulus of continuity; weighted approximation;
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