Improvement and further generalization of inequalities for differentiable mappings and applications

DOI10.1016/j.camwa.2007.05.004zbMath1155.26308OpenAlexW2053537782MaRDI QIDQ1005826

Uǧur S. Kirmaci

Publication date: 10 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.05.004

zbMATH Keywords

convex functionsdifferentiable mappingsintegral inequalitiesconcave functionsHermite-Hadamard inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

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Cites Work

• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Some inequalities for differentiable convex and concave mappings
• Some inequalities for mappings whose derivatives are bounded and applications to special means of real numbers.
• 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