Bivariate Bernstein-Kantorovich operators with a summability method and related GBS operators

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 Bögel 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.