Approximation properties of generalized Baskakov–Schurer–Szasz–Stancu operators preserving e − 2 a x , a> 0

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Sofyalıoğlu M., Kanat K.

Journal of Inequalities and Applications, vol.2019, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2019
  • 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
  • Ankara Haci Bayram Veli University Affiliated: Yes

Abstract

© 2019, The Author(s). The current paper deals with a modified form of the Baskakov–Schurer–Szasz–Stancu operators which preserve e − 2 a x 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.