Study of Representation of the Abel-Poisson Summability Based on Fractional Part Function and its Generalization

Study of Representation of the Abel-Poisson Summability Based on Fractional Part Function and its Generalization

Authors

  • Anter Ali AL-Saiyad Dept. of Mathematics, Faculty of Education, University of Aden, Yemen
  • Jehad Fadhel Ali AL-Dderbi Dept. of Mathematics, Faculty of Education, Lahej University, Yemen

Keywords:

Poisson Summability, Fourier Series, Fractional Part Function, Dirichlet Kernel, Poisson Kernel

Abstract

The Poisson Summability used Abel's method in order to studying converges uniformly Fourier series. In this paper, we give instead of a fixed r in Abel's method, take of fractional Part function by their Fourier series on [-L,L], we obtain the new results. Finally, we generalized Poisson summability and studying converges uniformly on [-L,L].

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Published

31-12-2023

How to Cite

AL-Saiyad, A. A., & AL-Dderbi, J. F. A. (2023). Study of Representation of the Abel-Poisson Summability Based on Fractional Part Function and its Generalization. Journal of the Faculties of Education - University of Aden, 17(1), 183–189. Retrieved from https://jef.adenuniv.net/index.php/jef/article/view/12

Issue

Vol. 17 No. 1 (2023)

Section

Articles

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Copyright (c) 2023 Journal of the Faculties of Education - University of Aden

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