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Convergence of sampling Kantorovich operators in modular spaces with applications

Convergence of sampling Kantorovich operators in modular spaces with applications

Abstract In the present paper we study the so-called sampling Kantorovich operators in the very general setting of modular spaces. Here, modular convergence theorems are proved under suitable assumptions, together with a modular inequality for the above operators. Further, we study applications of such approximation results in several concrete cases, …