Approximation properties of generalized Baskakov–Schurer–Szasz–Stancu operators preserving e−2ax,a>0 $e^{-2ax}, a>0$

Journal of Inequalities and Applications

Kadir Kanat¹  Melek Sofyalıoğlu¹ 

[1] Department of Mathematics, Polatlı Faculty of Science and Arts, Ankara Hacı Bayram Veli University;

关键词: Exponential functions;    Modulus of continuity;    Voronovskaya-type theorem;   

DOI  :  10.1186/s13660-019-2062-2

来源: DOAJ

【 摘 要 】

Abstract The current paper deals with a modified form of the Baskakov–Schurer–Szasz–Stancu operators which preserve e−2ax $e^{-2ax}$ for a>0 $a>0$. The uniform convergence of the modified operators is shown. The rate of convergence is investigated by using the usual modulus of continuity and the exponential modulus of continuity. Then Voronovskaya-type theorem is given for quantitative asymptotic estimation.

【 授权许可】

Unknown