Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2012, Volume 8, Number 2, Pages 144–157 (Mi jmag531)  
This article is cited in 1 scientific paper (total in 1 paper)

Andreev–Korkin identity, Saigo fractional integration operator and $\mathrm{Lip}_L(\alpha)$ functions

D. Jankova, T. K. Pogányb

a Department of Mathematics, University of Osijek Trg Lj. Gaja 6, 31000 Osijek, Croatia
b Faculty od Maritime Studies, University of Rijeka Studentska 2, 51000 Rijeka, Croatia
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Abstract: The Andreev–Korkin identity for the Chebyshev functional is treated by Hölder inequality, when the functional consists of $\mathrm{Lip}_L(\alpha)$ 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 al. (R. K. Saxena, J. Ram, J. Daiya, and T. K. Pogány. – Integral Transforms Spec. Funct. 22 (2011), 671–680).
Key words and phrases: Chebyshev functional, Andreev–Korkin identity, Chebyshev–Saigo functional, Saigo hypergeometric fractional integration operator, Lipschitz function clas.
Received: 26.10.2010
Revised: 25.05.2011
Bibliographic databases:
Document Type: Article
MSC: Primary 26D15, 26A16; Secondary 26A33, 26D10
Language: English
Citation: D. Jankov, T. K. Pogány, “Andreev–Korkin identity, Saigo fractional integration operator and $\mathrm{Lip}_L(\alpha)$ functions”, Zh. Mat. Fiz. Anal. Geom., 8:2 (2012), 144–157
Citation in format AMSBIB
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\by D.~Jankov, T.~K.~Pog\'any
\paper Andreev--Korkin identity, Saigo fractional integration operator and $\mathrm{Lip}_L(\alpha)$ functions
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2012
\vol 8
\issue 2
\pages 144--157
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2985607}
\zmath{https://zbmath.org/?q=an:1256.26005}
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    • This publication is cited in the following 1 articles:
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