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Rest bounded second variation sequences and p-th power integrability of some functions related to sums of formal trigonometric series

Krasniqi, Xhevat Z. (2015) Rest bounded second variation sequences and p-th power integrability of some functions related to sums of formal trigonometric series. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 249-257. ISSN 0866-0174

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Abstract

In this paper we have studied p-th power integrability of functions sin xg(x) and sin xf(x) with a weight, where g(x) and f(x) denote the formal sum functions of sine and cosine trigonometric series respectively. This study may be taken as a continuation for some recent foregoings results proven by L. Leindler [3] and S. Tikhonov [7] employing the so-called rest bounded second variation sequences.

Item Type: Article
Uncontrolled Keywords: Integrability of functions with a weight, trigonometric series, rest bounded second variation sequences
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 06 Feb 2024 11:32
Last Modified: 06 Feb 2024 11:32
URI: http://real.mtak.hu/id/eprint/187675

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