Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables
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Publication:555352
DOI10.1016/J.AMC.2011.04.036zbMath1218.26023OpenAlexW1972514065MaRDI QIDQ555352
Publication date: 22 July 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.036
convex functionintegral inequalitiesHermite-Hadamard inequalityquasi-convex functiontrapezoidal formulaWright-convex function
Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)
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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
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