Generalizations of Sherman's inequality

DOI10.1007/s10998-016-0154-zzbMath1399.26042OpenAlexW2531019300MaRDI QIDQ1705792

S. Ivelić Bradanović, Josip E. Pečarić

Publication date: 16 March 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0154-z

zbMATH Keywords

majorizationGrüss-type inequalitiesChebyshev functional\(n\)-convexitySherman's theoremOstrowsky-type inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (14)

Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences ⋮ A Jensen-Sherman type inequality with a control map for \(G\)-invariant convex functions ⋮ On an upper bound for Sherman's inequality ⋮ Sherman's functional, its properties with applications for f-divergence measure ⋮ Von Neumann-Davis type theorems for HLPK and Sherman functionals on Eaton triples ⋮ A note on the positivity of the even degree complete homogeneous symmetric polynomials ⋮ More accurate majorization inequalities obtained via superquadraticity and convexity with application to entropies ⋮ Completely monotonic ratios of basic and ordinary gamma functions ⋮ Unnamed Item ⋮ Converse to the Sherman inequality with applications ⋮ Nonlinear Sherman-type inequalities ⋮ Unnamed Item ⋮ Generalizations of Hardy type inequalities by Taylor's formula ⋮ Sherman's operator inequality

Cites Work

• Convex functions, partial orderings, and statistical applications
• $\mathbf{n}$-exponential convexity for Jensen-type inequalities
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• On a Theorem of Hardy, Littlewood, Polya, and Blackwell
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