A parametric generalization of the baskakov-schurer-szász-stancu approximation operators

Naim Latif Braha, Toufik Mansour, Hari Mohan Srivastava

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce and investigate a new class of the parametric generalization of the Baskakov-Schurer-Szász-Stancu operators, which considerably extends the well-known class of the classical Baskakov-Schurer-Szász-Stancu approximation operators. For this new class of approximation operators, we present a Korovkin type theorem and a Grüss-Voronovskaya type theorem, and also study the rate of its convergence. Moreover, we derive several results which are related to the parametric generalization of the Baskakov-Schurer-Szász-Stancu operators in the weighted spaces. Finally, we prove some shape-preserving properties for the parametric generalization of the BaskakovSchurer-Szász-Stancu operators and, as a special case, we deduce the corresponding shape-preserving properties for the classical Baskakov-Schurer-Szász-Stancu approximation operators.

Original languageEnglish
Article number980
JournalSymmetry
Volume13
Issue number6
DOIs
StatePublished - Jun 2021

Bibliographical note

Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Keywords

  • Approximation operators
  • Baskakov-Schurer-Szász-Stancu operators
  • Grüss-Voronovskaya type theorem
  • Korovkin type theorem
  • Parametric generalization
  • Rate of convergence
  • Shape-preserving properties
  • Voronovskaya type theorem

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics (all)
  • Physics and Astronomy (miscellaneous)

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