Genuine modified Bernstein–Durrmeyer operators

Journal of Inequalities and Applications

卷:2018

Tuncer Acar¹  Syed Abdul Mohiuddine²  Mohammed A. Alghamdi² 

[1] Department of Mathematics, Faculty of Science, Selcuk University;

[2] Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University;

关键词: Genuine Bernstein–Durrmeyer operators;    Rate of convergence;    Quantitative Voronovskaya theorem;    Gruss–Voronovskaya theorem;   

DOI  :  10.1186/s13660-018-1693-z

来源: DOAJ

【 摘 要 】

Abstract The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K $\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss–Voronovskaya type theorem in quantitative mean are discussed. Finally, the graphic for new operators with special cases and for some values of n is also presented.

【 授权许可】

Unknown