Results 31 to 40 of about 4,997 (220)
Improvements of the Hermite-Hadamard inequality [PDF]
Journal of Inequalities and Applications, 2015 The article provides refinements and generalizations of the Hermite-Hadamard inequality for convex functions on the bounded closed interval of real numbers. Improvements are related to the discrete and integral part of the inequality.
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Mathematics, 2023 Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad +3 more
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Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals
Journal of Mathematics, 2018 This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar +2 more
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A Sharp Multidimensional Hermite–Hadamard Inequality [PDF]
International Mathematics Research Notices, 2020 Abstract Let $\Omega \subset {\mathbb{R}}^d $, $d \geq 2$, be a bounded convex domain and $f\colon \Omega \to{\mathbb{R}}$ be a non-negative subharmonic function. In this paper, we prove the inequality $$\begin{equation*} \frac{1}{|\Omega|}\int_{\Omega} f(x)\, \textrm{d}x \leq \frac{d}{|\partial\Omega|}\int_{\partial\Omega} f(x ...
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Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions
Journal of Function Spaces, 2019 In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid +3 more
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AIMS Mathematics, 2022 Since the supposed Hermite-Hadamard inequality for a convex function was discussed, its expansions, refinements, and variations, which are called Hermite-Hadamard type inequalities, have been widely explored.
Jamshed Nasir +4 more
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On weighted generalization of the Hermite-Hadamard inequality [PDF]
Mathematical Inequalities & Applications, 2015 The results obtained in this paper are a correction of the main results obtained in [14], for which we also give an alternative proof and improvement. We also study some new monotonic conditions under which various generalizations of the Hermite-Hadamard inequality are valid.
Rozarija Jakšić +2 more
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A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
Проблемы анализа, 2019 A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite ...
Delavar M. Rostamian +2 more
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On the Refined Hermite-Hadamard Inequalities
Mathematical Sciences and Applications E-Notes, 2018 In this paper, we give some new refinements of Hermite-Hadamard inequality for co-ordinated convex function. These refinements provide us better estimation as compare to the earlier established refinements of Hadamard’s inequality.
ALİ, Tahir +3 more
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A refinement of the left-hand side of Hermite-Hadamard inequality for simplices [PDF]
, 2015 In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on ...
Nowicka, Monika, Witkowski, Alfred
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