Approximation properties by Bézier variant of the Baskakov–Schurer–Szász–Stancu operators

Naim Latif Braha, Toufik Mansour, Mohammad Mursaleen

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we have construct a new version of the Bézier-type Baskakov–Schurer–Szász–Stancu operators. For this new class of operators, uniform convergence is shown in any compact subset or positive real line. We prove Korovkin-type theorem, Voronovskaya-type theorem, and Grüss–Voronovskaya-type theorem. Moreover, at the end, we express the behavior of the operators in the Lipschitz-type space using the modulus of continuity and smoothness.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
DOIs
StateAccepted/In press - 2023

Bibliographical note

Publisher Copyright:
© 2023 John Wiley & Sons Ltd.

Keywords

  • Bézier form of the Baskakov–Schurer–Szász–Stancu operators
  • Grüss–Voronovskaya-type theorem
  • Korovkin-type theorem
  • Voronovskaya-type theorem

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering

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