|
Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2014, Issue 2, Pages 3–12
(Mi uzeru54)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
On the divergence of Walsh and Haar series by sectorial and triangular regions
G. A. Karagulyanab, K. R. Muradyanb a Yerevan State University
b Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
Abstract:
Almost everywhere (a.e.) divergence problems of the triangular and sectorial partial sums of the double Fourier series in Walsh and Haar orthonormal systems are studied. In particular, is constructed an example of bounded function on the unit square, which double Walsh–Fourier series diverges a.e. by an increasing sequence of triangular regions.
Keywords:
Haar series, Walsh series, divergence of triangular sums, divergence of sectorial sums.
Received: 20.02.2014 Accepted: 20.03.2014
Citation:
G. A. Karagulyan, K. R. Muradyan, “On the divergence of Walsh and Haar series by sectorial and triangular regions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 2, 3–12
Linking options:
https://www.mathnet.ru/eng/uzeru54 https://www.mathnet.ru/eng/uzeru/y2014/i2/p3
|
Statistics & downloads: |
Abstract page: | 115 | Full-text PDF : | 28 | References: | 43 |
|