Research articles
ScienceAsia 49 (2023): 101-107 |doi:
10.2306/scienceasia1513-1874.2023.132
On a convergence rate of generalized truncated hypersingular integrals associated to generalized Flett potentials
Simten Bayrakcia, Sinem Sezer Evcanb,*, Melih Eryigita, Selim çobanogluc
ABSTRACT: In this paper, a family of truncated hypersingular integrals depending on a parameter " and generated by
the generalized Poisson semigroup is introduced. Then the convergence rate of these families of truncated hypersingular
integrals, which converge to Lp,?
-function ? as " ? 0, is obtained.
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a |
Department of Mathematics, Akdeniz University, Antalya 07058 Turkey |
b |
Faculty of Education, Akdeniz University, Antalya 07058 Turkey |
c |
Finike Republic Vocational and Technical Anatolian High School, Antalya 07940 Turkey |
* Corresponding author, E-mail: sinemsezer@akdeniz.edu.tr
Received 6 Aug 2021, Accepted 22 Jul 2022
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