Refinements of some Hardy-Littlewood-Pólya type inequalities via Green's functions and Fink's identity and related results
DOI10.1186/s13660-020-02498-3zbMath1503.26060OpenAlexW3115213753MaRDI QIDQ2069611
Sadia Khalid, 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/s13660-020-02498-3
Green functionsHölder inequalityShannon entropyChebyshev functionalOstrowski-type inequalityGrüss-type inequality\(r\)-convex functionFink identitynonincreasing sequence in weighted mean
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)
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