Approximation of Class of Non-linear Integral Operators

Abstract

In this study,we investigate the problem of pointwise convergence at lebesgue points of funtions forthe family of non-linear integral operatorsL,(f,x) f’”(t)Km(x,t)dtmilwhere fl, is real parameter, (x, t) is non-negative kernels and is the function in L1(a, b)We consider two cases where (a b) is finite interval and when is the whole real axis.