Bivariate Bernstein-Kantorovich Operators with a Summability Method and Related GBS Operators

Ansari K. J., KARAKILIÇ S., ÖZGER F.

FILOMAT, vol.36, no.19, pp.6751-6765, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 19
  • Publication Date: 2022
  • Doi Number: 10.2298/fil2219751a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.6751-6765
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we apply four-dimensional infinite matrices to newly constructed original extension of bivariate Bernstein-Kantorovich type operators based on multiple shape parameters. We also use Bogel continuity to construct the GBS (Generalized Boolean Sum) operators for defined bivariate Kantorovich type. Moreover, we demonstrate certain illustrative graphs to show the applicability and validity of proposed operators.