Higher-order quasimonotonicity and integral inequalities

DOI10.7153/mia-2018-21-61zbMath1400.26043OpenAlexW2888465291WikidataQ129360207 ScholiaQ129360207MaRDI QIDQ4685289

Evelin Pénzes, Mihály Bessenyei

Publication date: 5 October 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2018-21-61

zbMATH Keywords

quadrature formulaChebyshev systemHermite-Hadamard inequalitygeneralized monotonicity and convexity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Numerical quadrature and cubature formulas (65D32) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• The Hermite-Hadamard inequality in Beckenbach's setting
• Hermite and convexity
• Hermite-Hadamard inequalities for generalized convex functions
• Characterization of higher-order monotonicity via integral inequalities
• Characterizations of convexity via Hadamard's inequality
• Convex functions and their applications. A contemporary approach
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