On a convergence rate of generalized truncated hypersingular integrals associated to generalized Flett potentials

Simten Bayrakci^a, Sinem Sezer Evcan^b,*, Melih Eryigit^a, Selim çobanoglu^c

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

On a convergence rate of generalized truncated hypersingular integrals associated to generalized Flett potentials

Simten Bayrakcia, Sinem Sezer Evcanb,*, Melih Eryigita, Selim çobanogluc

Simten Bayrakci^a, Sinem Sezer Evcan^b,*, Melih Eryigit^a, Selim çobanoglu^c