Two inequalities for differentiable mappings and applications to weighted trapezoidal formula, weighted midpoint formula and random variable

DOI10.1016/J.MCM.2010.08.002zbMath1211.26022OpenAlexW1969361911MaRDI QIDQ534822

Shiow-Ru Hwang, Jen-Chieh Lo, Gou-Sheng Yang, Kuei-Lin Tseng

Publication date: 10 May 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.08.002

zbMATH Keywords

convex mappingsHermite-Hadamard's inequalityconcave mappingsFejér's inequalityweighted midpoint formulaweighted trapezoidal formula

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (1)

Some New Inequalities on Generalization of Hermite-Hadamard and Bullen Type Inequalities, Applications to Trapezoidal and Midpoint Formula

Cites Work

• Two mappings in connection to Hadamard's inequalities
• 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
• Inequalities for differentiable mappings with application to special means and quadrature formulæ

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