Some inequalities for differentiable convex mapping with application to weighted midpoint formula and higher moments of random variables

DOI10.1016/j.amc.2014.01.050zbMath1410.26037OpenAlexW4245987492MaRDI QIDQ1646072

Dah-Yan Hwang

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.050

zbMATH Keywords

convex functionintegral inequalitiesHermite-Hadamard inequalityquasi-convex functionmidpoint formulawright-convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

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Cites Work

• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• Two mappings in connection to Hadamard's inequalities
• A theorem on mappings with bounded derivatives with applications to quadrature rules and means.
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Some inequalities for differentiable convex and concave mappings
• Inequalities of Hadamard's type for Lipschitzian mappings and their applications
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• Unnamed Item