Approximation properties of generalized Baskakov-Schurer-Szasz-Stancu operators preserving e-2ax, a > 0


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Sofyalioglu M., Kanat K.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2019
  • Doi Number: 10.1186/s13660-019-2062-2
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Exponential functions, Modulus of continuity, Voronovskaya-type theorem
  • Gazi University Affiliated: No

Abstract

The current paper deals with a modified form of the Baskakov-Schurer-Szasz-Stancu operators which preserve e-2ax for 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.