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- Title
On the rate of L<sub>p</sub>-convergence of Balakrishnan–Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup.
- Authors
ERYİGİT, Melih; ÇOBANOĞLU, Selim
- Abstract
We introduce a family of Balakrishnan–Rubin-type hypersingular integrals depending on a parameter #949; and generated by the Gauss–Weierstrass semigroup. Then the connection between the order of Lp {smoothness of a Lp–function φ and the rate of Lp -convergence of these families to φ, as #949; tends to 0, is obtained.
- Subjects
WEIERSTRASS semigroups; STOCHASTIC convergence; SINGULAR integrals; SMOOTHNESS of functions; MATHEMATICAL analysis
- Publication
Turkish Journal of Mathematics, 2017, Vol 41, Issue 6, p1376
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-1610-105