학술논문
APPROXIMATION BY GENUINE LUPAS-BETA-STANCU OPERATORS
Document Type
Article
Author
Source
Journal of Applied Mathematics and Informatics, 36(1), pp.15-28 Jan, 2018
Subject
Language
English
ISSN
2234-8417
1598-5857
1598-5857
Abstract
In this paper, we introduce a Stancu type generalization of genuine Lupa\c{s}-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.