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On a Generalization of the Hermite-Hadamard Inequality II
2008Generalized form of Hermite-Hadamard inequality for (2n)-convex Lebesgue integrable functions are obtained through generalization of Taylor’s Formula.
Anwar, Matloob, Pečarić, Josip E.
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On generalized Hermite-Hadamard's inequality
Jordan journal of mathematics and statistics, 2013The object is to construct the log-convex and the exponential convex functions via functional generalization of Hermite Hadamard’s inequality for some special classes of continuous functions defined on compact interval in R. Constructed n-exponentially convex functions are used to obtain the generalization of already discovered mean with positive ...
Anwar, Matloob +2 more
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Jensen's and Hermite-Hadamard's inequality [PDF]
In this work, we rely on concepts of mathematical analysis such as the convexity and integral method. A derivation of the discrete form of Jensen's inequality is presented by using geometric properties of convex sets. The integral form of Jensen's inequality is realized by applying the integral method with convex combinations.
Novoselac, Vedran, Pavić, Zlatko
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On Jensen's and Hermite-Hadamard's inequality
International journal of research and reviews in applied sciences, 2013The article deals with the generalizations of Jensen's inequality in the discrete and integral form. One generalization of Hermite-Hadamard's inequality is also presented. The transition from discrete to integral means is realized using the integral method with convex combinations.
Novoselac, Vedran, Pavić, Zlatko
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Hermite–Hadamard inequality for convex stochastic processes
Aequationes Mathematicae, 2011Dawid Kotrys
exaly
A New Version of the Hermite–Hadamard Inequality for Riemann–Liouville Fractional Integrals
Symmetry, 2020Pshtiwan Othman Mohammed +2 more
exaly
On Hermite–Hadamard inequality for $${\varvec{h}}$$ h -convex stochastic processes
Aequationes Mathematicae, 2017Zhiwei Hao
exaly

