Inequalities for convex functions via Stieltjes integral

DOI10.1007/s10986-018-9386-3zbMath1391.26036OpenAlexW2791583120MaRDI QIDQ1754539

Tomasz Szostok

Publication date: 31 May 2018

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-018-9386-3

zbMATH Keywords

convex functionsStieltjes integralHermite-Hadamard inequalitiesOhlin lemma

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Ohlin and Levin-Stečkin-type results for strongly convex functions

Cites Work

• Inequalities of the Hermite-Hadamard type involving numerical differentiation formulas
• Ohlin's lemma and some inequalities of the Hermite-Hadamard type
• The s-convex orders among real random variables, with applications
• On Some Recent Applications of Stochastic Convex Ordering Theorems to Some Functional Inequalities for Convex Functions: A Survey
• On the Ohlin lemma for Hermite-Hadamard-Fejér type inequalities
• On a generalization of a theorem of Levin and Stečkin and inequalities of the Hermite-Hadamard type