Singular integral operators play an important role in approximation theory and harmonic analysis. In this paper, we consider a weighted Lebesgue space Lp,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∈ Lp,w f ∈ L p , w . We use the modulus of continuity of the functions to measure the rate of convergence.
No takes yet. Share an insight, caveat, or question.
Singh et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: