Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method

Naim L. Braha, Toufik Mansour, Mohammad Mursaleen

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study some properties of the parametric generalization of the Baskakov–Schurer–Szász operators using a power series summability method. We prove some results in the weighted spaces of continuous functions and the Voronovskaya type theorem. Further, we prove some results related to the statistical convergence of the parametric generalization of the Baskakov–Schurer–Szász operators using the B-transformation. At the end of the paper we give some illustrative computational examples.

Original languageEnglish
Article number71
JournalComplex Analysis and Operator Theory
Volume18
Issue number3
DOIs
StatePublished - Apr 2024

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Keywords

  • 40A35
  • 40C15
  • 40G10
  • 41A36
  • Baskakov–Schurer–Szász operators
  • Korovkin type theorem
  • Power series summability method
  • Rate of convergence
  • Voronovskaya type theorem

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

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