In this paper we give some approximation theorems concerning pointwise convergence at Lebesgue points and the rate of convergence for non-convolution linear operators, with kernels satisfying generalized homogeneity assumptions. An example which illustrates the general theory is given.
On pointwise convergence of linear integral operators with homogeneous kernels
BARDARO, Carlo;VINTI, Gianluca
2008
Abstract
In this paper we give some approximation theorems concerning pointwise convergence at Lebesgue points and the rate of convergence for non-convolution linear operators, with kernels satisfying generalized homogeneity assumptions. An example which illustrates the general theory is given.File in questo prodotto:
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