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JOURNALS // BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series // Archive

BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 2019, Volume 127, Issue 2, Pages 8–26 (Mi vemim28)

MATHEMATICS-COMPUTER SCIENCE

Transformation and Absolute Convergence of Trigonometric Fourier Series

N. Temirgaliev

Gumilyov Eurasian National University, Institute of Theoretical Mathematics and Scientific Computations

Abstract: The article is devoted to the problems of the theory of summability and absolute convergence of trigonometric Fourier series with the formulation of problems belonging to P.L. Ulyanov, in the context of the further development of these areas of research.

Keywords: Orlicz space, Fourier series transformation, absolute convergence, limiting case.

Received: 17.04.2019



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