|
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 12, Pages 82–86
(Mi ivm7163)
|
|
|
|
This article is cited in 5 scientific papers (total 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.
Received: 09.06.2010
Citation:
Yu. Kh. Khasanov, “Approximation of almost periodic functions of two variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 82–86; Russian Math. (Iz. VUZ), 54:12 (2010), 72–75
Linking options:
https://www.mathnet.ru/eng/ivm7163 https://www.mathnet.ru/eng/ivm/y2010/i12/p82
|
Statistics & downloads: |
Abstract page: | 320 | Full-text PDF : | 86 | References: | 37 | First page: | 6 |
|