On approximation properties of non-convolution type nonlinear integral operators

In the present paper we state some approximation theorems concerning pointwise convergence and its rate for a class of non-convolution type nonlinear integral operators of the form:

$T_lambda left( {f;x} right) = intlimits_A^B {K_lambda left( {t,x,fleft( t right)} right)dt , x in } leftlangle {a,b} rightrangle ,lambda in Lambda $T_lambda left( {f;x} right) = intlimits_A^B {K_lambda left( {t,x,fleft( t right)} right)dt , x in } leftlangle {a,b} rightrangle ,lambda in Lambda
Keywords:	pointwise convergence  rate of convergence  nonlinear singular integral  generalized Lebesgue point  Lipschitz condition
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！