Adyghe Int. Sci. J. Vol. 22, No 4. P. 18-28. ISSN 1726-9946
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DOI: https://doi.org/10.47928/1726-9946-2022-22-4-18-28
MATHEMATICS
MSC 32А10; 32А37 | Original Article |
Estimates of φ – strong mean sequences of singular integrals of summation methods
Niazbey Lukich Pachulia
Doctor of Physical and Mathematical Sciences, Professor, Academician of the Academy of Sciences Abkhazia, Dean of the Faculty of Physics and Mathematics of the Abkhazian State University (Republic of Abkhazia, Sukhum, Univcrsitctskaya st. 1), niaz-pachulia@raniblcr.ru
http://www.niathnct.ru/rus/person32205, https://mathscinet.anis.org/mathscinct/MRAuthorlD/ 193066
Natalia Niazbeevna Pachulia
Senior Lecturer, Department of Applied Mathematics and Informatics of the Abkhazian State University (Republic of Abkhazia, Sukhum, Univcrsitctskaya st. 1), n_pachulia@inbox.ru
Abstract. Sufficient conditions are found in the work that the kernel satisfies for the singular integral φ – to be strongly summable by regular methods.
Keywords: singular integral, summation, strong summation, summation methods
Acknowledgments: the author are thankful to the anonymous reviewer for his valuable remakes.
For citation. N. L. Pachulia, N. N. Pachuliya Estimates of φ – strong mean sequences of singular integrals of summation methods. Adyghe hit. Sei. J. 2022. Vol. 22, No. 4. P. 18-28.
DOI: https://doi.org/10.47928/1726-9946-2022-22-4-18-28
The author has read and approved the final version of the manuscript.
Submitted 21.11.2022; approved after reviewing 27.11.2022; aeeepted for publication 08.12.2022
© Pachulia N. L.,
Pachuliya N. N., 2022
REFERENCES
1. G. Alexits Convergence Problems of orthogonal series. Publisher: M.: Foreign Literature. 1963. 360 p.
2. N. K. Bari Trigonometricheskie ryady [Trigonometric scries]. Moscow, publishing house: Gosizdat fizmat literature, 1961. 936 p.
3. N. L. Pachulia Ekstremal’nye zadachi tcorij sil’nogo summirovaniya ryadov Fur’e [Extremal problems of strong summation theories of Fourier scries]. Sukhum. ASU. 2017. 204 p.
4. V. Totik Notes of Fourier scries. Strong approximation. J. approximation theory. 1985. V. 45. P. 105-111.
5. N. L. Pachulia, N. N. Pachuliya О povcdcnii sil’nyh srednih metodov summirovaniya uklonenij funkcii singulyarnymi intcgralami [On the behavior of strong mean methods for summation of function deviations by singular integrals]. Sb. trudov Abhazskij Gosunivcrsitct 90. Yubilcjnoc nauchnoc izdanie. Moscow. 2022. P. 42-46.
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