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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 12, Pages 82–86 (Mi ivm7163)

This article is cited in 5 papers

Brief communications

Approximation of almost periodic functions of two variables

Yu. Kh. Khasanov

Chair of Information Science and Information Systems, Russian-Tajik Slavonic University, Dushanbe, Republic of Tajikistan

Abstract: In this paper we study the deviations of periodic functions of two variables from the integral mean values and their Fourier transformations. In the class of uniform almost periodic functions of two variables we obtain estimates for the deviation from sums of the Zygmund–Marcinkiewicz type.

Keywords: Fourier series, integral mean values, Fourier transformation, sums of the Zygmund–Marcinkiewicz type, trigonometric polynomials, almost periodic functions, Fourier exponents.

UDC: 517.512

Received: 09.06.2010


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:12, 72–75

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