REFINEMENTS AND REVERSES OF F ́EJER’S INEQUALITIES FOR CONVEX FUNCTIONS ON LINEAR SPACES

DOI10.15393/j3.art.2020.8830zbMath1454.26034OpenAlexW3109914370MaRDI QIDQ5151417

Sever Silvestru Dragomir

Publication date: 17 February 2021

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa309

zbMATH Keywords

convex functionsintegral inequalitiesHermite-Hadamard inequalityFéjer inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• New convex functions in linear spaces and Jensen's discrete inequality
• Sharp inequalities of Ostrowski type for convex functions defined on linear spaces and application
• OSTROWSKI TYPE INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS ON SEGMENTS IN LINEAR SPACES
• Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space
• Improvement of Jensen's Inequality in terms of Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications

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