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Problemy Analiza — Issues of Analysis, 2019, Volume 8(26), Issue 3, Pages 112–124
DOI: https://doi.org/10.15393/j3.art.2019.6350 (Mi pa277) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Further results on Jensen-type inequalities

B. Moosavia, H. R. Moradib, M. Shah Hosseinic

a Department of Mathematics, Safadasht Branch, Islamic Azad University, Tehran, Iran
b Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
c Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran
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DOI: https://doi.org/10.15393/j3.art.2019.6350
Abstract: In this paper, we establish some Jensen-type inequalities for continuous functions of self-adjoint operators on complex Hilbert spaces. Furthermore, using the Cartesian decomposition of an operator, we improve the known result due to Mond and Pečarić. Some refinements of the Hölder–McCarthy inequality are given as well.
Keywords: Jensen's inequality, convex function, synchronous (asynchronous) function, self-adjoint operator.
Funding agency
This work was financially supported by Safadasht Branch, Islamic Azad University, Tehran, Iran.
Received: 28.05.2019
Revised: 21.07.2019
Accepted: 18.07.2019
Bibliographic databases:
Document Type: Article
UDC: 517.38, 517.51
MSC: Primary 47A63, Secondary 26A51, 26D15, 26B25, 39B62} \keywords{Jensen's inequality, convex function, synchronous (asynchronous) function, self-adjoint operator
Language: English
Citation: B. Moosavi, H. R. Moradi, M. Shah Hosseini, “Further results on Jensen-type inequalities”, Probl. Anal. Issues Anal., 8(26):3 (2019), 112–124
Citation in format AMSBIB
\Bibitem{MooMorSha19}
\by B.~Moosavi, H.~R.~Moradi, M.~Shah Hosseini
\paper Further results on Jensen-type inequalities
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 3
\pages 112--124
\mathnet{http://mi.mathnet.ru/pa277}
\crossref{https://doi.org/10.15393/j3.art.2019.6350}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000497499600011}
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  • https://www.mathnet.ru/eng/pa/v26/i3/p112
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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