Author:
Singh Abhay Pratap,Singh Uaday
Abstract
AbstractSingular integral operators play an important role in approximation theory and harmonic analysis. In this paper, we consider a weighted Lebesgue space $L^{p,w}$
L
p
,
w
, define a modified Gauss–Weierstrass singular integral on it, and study direct and inverse approximation properties of the operator followed by a Korovkin-type approximation theorem for a function $f\in L^{p,w}$
f
∈
L
p
,
w
. We use the modulus of continuity of the functions to measure the rate of convergence.
Publisher
Springer Science and Business Media LLC
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