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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