Rate of convergence of nonlinear integral operators for functions of bounded variation

摘要

The aim of this paper is to study the behavior of the operators T _λ defined by $nT_lambda (f;x) = intlimits_a^b {K_lambda (t - x,f(t))dt,x in .} n$nT_lambda (f;x) = intlimits_a^b {K_lambda (t - x,f(t))dt,x in .}