On an upper bound for Sherman's inequality

DOI10.1186/s13660-016-1091-3zbMath1345.26035OpenAlexW2474459142WikidataQ59462970 ScholiaQ59462970MaRDI QIDQ300548

Slavica Ivelić Bradanović, Naveed Latif, Josip E. Pečarić

Publication date: 28 June 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1091-3

zbMATH Keywords

Jensen inequalityOstrowski type inequalityAbel-Gontscharoff interpolating polynomialSherman inequalitySherman theorem

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Inequalities in real analysis (26D99)

Related Items (8)

Extensions and improvements of Sherman's and related inequalities for \(n\)-convex functions ⋮ Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences ⋮ Sherman's functional, its properties with applications for f-divergence measure ⋮ Hermite-Hadamard, Fejer and Sherman type inequalities for generalizations of superquadratic and convex functions ⋮ 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 ⋮ Converse to the Sherman inequality with applications ⋮ Sherman's operator inequality

Cites Work

• Generalizations of Sherman's inequality by Lidstone's interpolating polynomial
• Convex functions, partial orderings, and statistical applications
• Generalizations of Sherman's inequality
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• On a Theorem of Hardy, Littlewood, Polya, and Blackwell
• Inequalities: theory of majorization and its applications
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