Weighted trapezoidal inequalities related to the area balance of a function with applications

DOI10.1016/j.amc.2018.08.024zbMath1428.26053OpenAlexW2890665860MaRDI QIDQ2007641

M. Rostamian Delavar, Sever Silvestru Dragomir

Publication date: 22 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.08.024

zbMATH Keywords

random variableFejér inequality\(h\)-convex functionspecial meanstrapezoid formula

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51)

Related Items (4)

Sharp estimation type inequalities for Lipschitzian mappings in Euclidean sense on a disk ⋮ On Fejér's inequality: generalizations and applications ⋮ Hermite-Hadamard's mid-point type inequalities for generalized fractional integrals ⋮ Sharp trapezoid and mid-point type inequalities on closed balls in \(\mathbb{R}^3\)

Cites Work

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• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• On η-convexity
• On some Hermite-Hadamard-Fejér inequalities for (k,h)-convex functions
• Inequalities for the area balance of absolutely continuous functions

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