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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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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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Hermite–Hadamard type inequality for Sugeno integrals
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Dong-Qing, Song, Xiao-Qiu, Yue, Tian
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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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The Hermite—Hadamard Inequality on Simplices
The American Mathematical Monthly, 2008(2008). The Hermite—Hadamard Inequality on Simplices. The American Mathematical Monthly: Vol. 115, No. 4, pp. 339-345.
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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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The Hermite-Hadamard Inequalities and Applications
The College Mathematics Journal, 2023openaire +1 more source

