Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces

被引：0
|
作者：
G. Akishev
L. E. Persson
A. Seger
机构：
[1] L.N. Gumilyov Eurasian National University,Department of Fundamental Mathematics
[2] Ural Federal University,Institute of Mathematics and Computer Science
[3] The Artic University of Norway,Department of Computer Science and Computational Engineering Campus Narvik
来源：
Journal of Inequalities and Applications | / 2019卷
关键词：
Inequalities; Fourier series; Fourier coefficients; Unbounded orthogonal systems; Lorentz–Zygmund spaces; 42A16; 42B05; 26D15; 26D20; 46E30;
D O I：
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中图分类号：
学科分类号：
摘要：
A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.
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