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Approximation properties of a modified Gauss–Weierstrass singular integral in a weighted space.
- Source :
- Journal of Inequalities & Applications; 7/18/2024, Vol. 2024 Issue 1, p1-17, 17p
- Publication Year :
- 2024
-
Abstract
- Singular integral operators play an important role in approximation theory and harmonic analysis. In this paper, we consider a weighted Lebesgue space 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 ∈ L p , w . We use the modulus of continuity of the functions to measure the rate of convergence. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2024
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178527816
- Full Text :
- https://doi.org/10.1186/s13660-024-03171-9