Approximation by GBS associated properties of Sz\'{a}sz-Jakimovski-Leviatan-Kantorovich operators

Abstract

Our motive in the present article is to study the bivariate and GBS associated properties of the Sz\'{a}sz-Jakimovski-Leviatan-Kantorovich operators. We design the operators and obtain the weighted approximation properties by mixed modulus of continuity and convergence of Lipschitz class bivariate function. Finally, we design GBS type bivariate mixed difference operators and calculate the approximation properties in Bögel continuous functions space.