Gamma Generalization Operators Involving Analytic Functions

Mathematics

Bayram Çekim¹  Gürhan İçöz¹  Qing-Bo Cai² 

[1] Department of Mathematics, Faculty of Science, Gazi University, Ankara 06560, Turkey;Fujian Provincial Key Laboratory of Data-Intensive Computing, Key Laboratory of Intelligent Computing and Information Processing, School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China;

关键词: Gamma function;    Szász operators;    Boas–Buck type polynomials;    analytic functions;    rate of convergence;   

DOI  :  10.3390/math9131547

来源: DOAJ

【 摘 要 】

In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments. The rate of convergence is given by the Ditzian–Totik first order modulus of smoothness and the K-functional. Furthermore, we obtain the point-wise estimations for this operator.

【 授权许可】

Unknown