New refinement of the Jensen inequality associated to certain functions with applications

DOI10.1186/s13660-020-02343-7zbMath1503.26038OpenAlexW3031736664MaRDI QIDQ2069357

Đilda Pečarić, Muhammad Adil Khan, Josip E. Pečarić

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02343-7

zbMATH Keywords

convex functionsHölder inequalityJensen inequalitymeansShannon entropyCsiszár divergence

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51)

Related Items (9)

Refinements of Jensen's and McShane's inequalities with applications ⋮ New bounds for soft margin estimator via concavity of Gaussian weighting function ⋮ Continuous refinements of some Jensen-type inequalities via strong convexity with applications ⋮ A new approach for the derivation of bounds for the Jensen difference ⋮ Several Jensen-grüss inequalities with applications in information theory ⋮ New estimates for Csiszár divergence and Zipf-Mandelbrot entropy via Jensen-Mercer's inequality ⋮ Unnamed Item ⋮ Uniform treatment of Jensen's inequality by Montgomery identity ⋮ Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence

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