Remarks on convex functions and separable sequences

DOI10.1016/j.disc.2007.04.023zbMath1153.26315OpenAlexW1991856940MaRDI QIDQ952632

Marek Niezgoda

Publication date: 12 November 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.04.023

zbMATH Keywords

convex functionmonotone sequenceChebyshev type inequalityconvex sequencestar-shaped sequenceseparable sequence

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Inequalities for sums, series and integrals (26D15)

Related Items (12)

Some majorization integral inequalities for functions defined on rectangles ⋮ Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences ⋮ Synchronous sequences and inequalities for convex functions ⋮ Remarks on convex functions and separable sequences. II. ⋮ Sherman's functional, its properties with applications for f-divergence measure ⋮ Unnamed Item ⋮ Cone orderings, group majorizations and similarly separable vectors ⋮ A generalization of Mercer's result on convex functions ⋮ MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL ⋮ Hardy-Littlewood-Pólya-type theorems for invex functions ⋮ Schur-Ostrowski type theorems revisited ⋮ Sherman's operator inequality

Cites Work

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• Bifractional inequalities and convex cones
• On Chebyshev's inequality for sequences
• Comments on Chebycheff's inequality
• Some majorisation type discrete inequalities for convex functions
• Analytic Inequalities
• Inequalities: theory of majorization and its applications

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