Criteria for Approximative Properties of Systems of Sines and Cosines in Grand Lebesgue Space

被引：0

作者：

Hagverdi, T. ^{[1
]}

机构：

[1] Minist Sci & Educ Republ Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 10期

关键词：

basicity; sine and cosine systems; grand Lebesgue space; PIECEWISE-LINEAR PHASE; BASICITY; EXPONENTS;

D O I：

10.1134/S1995080223100153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article the trigonometric systems of sine sin (n - alpha) t, n = 1, 2, ... and cosine cos (n - alpha) t, n = 0, 1, 2, ... are considered in the grand Lebesgue space L-p)(0, pi), where alpha is a real parameter. The basis properties: criteria for minimality, completeness and basicity of these trigonometric systems with respect to the parameter alpha, are found.

引用

页码：4271 / 4284

页数：14

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