$L^p$-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel

Abstract

By use of the so-called max-product method, in this paper we associate to the truncated linear sampling operators based on the Fej\'er-type kernel, nonlinear sampling operators of Kantorovich type, for which we prove convergence results in the $L^{p}$-norm, $1\le p\le +\infty $, with quantitative estimates.