Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators

Demonstratio mathematica

article

Mohammad Mursaleen¹  Mohammad Nasiruzzaman²  Abdul Wafi² 

[1] Department of Mathematics, Aligarh Muslim University;Department of Mathematics, Jamia Millia Islamia University

关键词: q-analogue of Jakimovski-Leviatan operators;    modulus of continuity;    rate of approximation;    K-functional;    weighted spaces;   

DOI  :  10.1515/dema-2017-0019

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modified operators introduced by Atakut with the help of the q-Appell polynomials.We obtain some approximation results via the well-known Korovkin’s theorem for these operators.We also study convergence properties by using the modulus of continuity and the rate of convergence of the operators for functions belonging to the Lipschitz class. Moreover,we study the rate of convergence in terms of modulus of continuity of these operators in aweighted space.

【 授权许可】

CC BY