Korovkin-type Approximation Theorem for Bernstein Stancu Operator of Rough Statistical Convergence of Triple Sequence

Esi A., ÖZDEMİR M. K., SUBRAMANİAN N.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.38, no.7, pp.69-83, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 7
  • Publication Date: 2020
  • Doi Number: 10.5269/bspm.v38i7.45874
  • Journal Name: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.69-83
  • Inonu University Affiliated: Yes

Abstract

We obtain a Korovkin-type approximation theorem for Bernstein Stancu polynomials of rough statistical convergence of triple sequences of positive linear operators of three variables from H-omega (K) to C-B (K), where K = [0, infinity) x [0, infinity) x [0, infinity) and omega is non-negative increasing function on K.