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3-convex functions and generalizations of an inequality of Hardy-Littlewood-Pólya

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Publication:2931849
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DOI10.3336/gm.48.2.08zbMath1303.26021OpenAlexW2071946732MaRDI QIDQ2931849

Marjan Praljak, Sadia Khalid, Josip E. Pečarić

Publication date: 28 November 2014

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: http://hrcak.srce.hr/file/165544

zbMATH Keywords

convex functiondivided differencemean value theorems\(n\)-exponential and logarithmic convexity3-convex functionnon-increasing sequence in weighted mean


Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)


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Old and new on the 3-convex functions, On Shannon and Zipf-Mandelbrot entropies and related results, Remarks on the monotonicity and convexity of Jensen's function, New inequalities related to superquadratic functions



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