【摘 要】
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In the present paper we state some approximation theorems concerning pointwise convergence and its rate for a class of non-convolution type nonlinear integral o
【机 构】
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Abant Izzet Baysal University Faculty of Science and Arts Department of Mathematics
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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: Tλ(f;x)=B/∫/Akλ(t,x,f(t))dt,x∈＜a,b＞,λ∈A.In particular,we obtain the pointwise convergence and its rate at some characteristic points xo of f as (x,λ)→(x0,λ0) in L1＜A,B＞,where＜a,b＞and＜A,B＞are is an arbitrary intervals in R,A is a non-empty set of indices with a topology and λ0 an accumulation point of A in this topology.The results of the present paper generalize several ones obtained previously in the papers [19]-[23].
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