Cyclic refinements of the discrete and integral form of Jensen's inequality with applications
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Publication:334536
DOI10.1515/anly-2015-0022zbMath1351.26021OpenAlexW2539238928MaRDI QIDQ334536
Khuram Ali Khan, László Horváth, Josip E. Pečarić
Publication date: 1 November 2016
Published in: Analysis (München) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anly-2015-0022
Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)
Related Items (13)
Generalization of cyclic refinements of Jensen's inequality by Fink's identity ⋮ New bounds for Shannon, relative and Mandelbrot entropies via Hermite interpolating polynomial ⋮ Continuous refinements of some Jensen-type inequalities via strong convexity with applications ⋮ Generalization of cyclic refinements of Jensen inequality by montgomery identity and Green’s function ⋮ Refined estimates and generalization of some recent results with applications ⋮ Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality ⋮ Generalizations of cyclic refinements of Jensen's inequality by Lidstone's polynomial with applications in information theory ⋮ New refinements of the discrete Jensen's inequality generated by finite or infinite permutations ⋮ New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial ⋮ Cyclic Refinements of the Different Versions of Operator Jensen's Inequality ⋮ Several new cyclic Jensen type inequalities and their applications ⋮ Refinements of the integral Jensen's inequality generated by finite or infinite permutations ⋮ Generalized cyclic Jensen and information inequalities
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