Andreev-Korkin Identity, Saigo Fractional Integration Operator and LipL(α) Functions

The Andreev-Korkin identity for the Chebyshev functional is treated by Holder inequality, when the functional consists of LipL(α) functions. The derived upper bound is applied to the so-called Chebyshev-Saigo functional, built by Saigo fractional integral operator - recently introduced by Saxena et...

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Bibliographic Details
Date:2012
Main Authors: Jankov, D., Pogány, T.K.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2012
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106715
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Andreev-Korkin Identity, Saigo Fractional Integration Operator and LipL(α) Functions / D. Jankov, T.K. Pogány // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 2. — С. 144-157. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine