Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences

zbMath1434.26021arXiv1905.06771MaRDI QIDQ5214046

Slavica Ivelić Bradanović

Publication date: 6 February 2020

Full work available at URL: https://arxiv.org/abs/1905.06771

zbMATH Keywords

convex functionJensen inequalitymajorizationSherman inequalitystrongly convex function

Mathematics Subject Classification ID

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

Related Items (2)

Sherman's functional, its properties with applications for f-divergence measure ⋮ More accurate majorization inequalities obtained via superquadraticity and convexity with application to entropies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an upper bound for Sherman's inequality
• Relative convexity and its applications
• Strongly convex functions of higher order
• Characterizations of inner product spaces by strongly convex functions
• Remarks on strongly convex functions
• Vector joint majorization and generalization of Csiszár-Körner's inequality for \(f\)-divergence
• Generalizations of Sherman's inequality by Lidstone's interpolating polynomial
• Remarks on convex functions and separable sequences
• Convex functions, partial orderings, and statistical applications
• Generalizations of Sherman's inequality
• Old and new on the Hermite-Hadamard inequality
• An approach of majorization in spaces with a curved geometry
• Nonlinear Sherman-type inequalities
• Extensions and improvements of Sherman's and related inequalities for \(n\)-convex functions
• Generalizations of Sherman's inequality via Fink's identity and Green's function
• Generalizations of Sherman's inequality by Hermite's interpolating polynomial
• Remarks on Sherman like inequalities for (α,β)-convex functions
• Bounds on the deviation of a function from its averages
• Choquet theory for signed measures
• Equilibrium points of logarithmic potentials induced by positive charge distributions. I. Generalized de Bruijn-Springer relations
• On Strongly Convex Functions and Related Classes of Functions
• Inequalities: theory of majorization and its applications

This page was built for publication: Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences