Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (306 kB) Citations (1)
References:
PDF
HTML
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
\Bibitem{JanPog12}
\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
\mathnet{http://mi.mathnet.ru/jmag531}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2985607}
\zmath{https://zbmath.org/?q=an:1256.26005}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000304030100003}
Linking options:
  • https://www.mathnet.ru/eng/jmag531
  • https://www.mathnet.ru/eng/jmag/v8/i2/p144
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:177
    Full-text PDF :100
    References:33
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024