Results 11 to 20 of about 7,690 (255)
The Hermite–Hadamard Inequality in Higher Dimensions [PDF]
The Journal of Geometric Analysis, 2018 The Hermite–Hadamard inequality states that the average value of a convex function on an interval is bounded from above by the average value of the function at the endpoints of the interval. We provide a generalization to higher dimensions: let $$\Omega \
S. Steinerberger
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Applications of the Hermite-Hadamard inequality [PDF]
Mathematical Inequalities & Applications, 2016 We show how the recent improvement of the Hermite-Hadamard inequality can be applied to some (not necessarily convex) planar figures and three-dimensional bodies satisfying some kind of regularity.
M. Nowicka, A. Witkowski
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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.
Zlatko Pavić
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The Jensen and Hermite-Hadamard inequality on the triangle [PDF]
Journal of Mathematical Inequalities, 2017 We study the functional forms of the most important inequalities concerning convex functions on the triangle. Our intension is to construct the functional form which implies the integral and discrete form of the Jensen inequality, the Fejér, and so the ...
Zlatko Pavić
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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
R. Jaksic +2 more
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Hermite-Hadamard Inequality on Time Scales [PDF]
Journal of Inequalities and Applications, 2008 We discuss some variants of the Hermite-Hadamard inequality for convex functions on time scales. Some improvements and applications are also included.
C. Dinu
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Hermite-Hadamard inequalities and their applications. [PDF]
J Inequal Appl, 2018 New Hermite-Hadamard type inequalities are established. Some corresponding examples are also discussed in detail.
Mihai MV +4 more
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Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
M. Tariq, S. Ntouyas, A. A. Shaikh
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Some Hermite-Hadamard type inequalities for harmonically s-convex functions. [PDF]
ScientificWorldJournal, 2014 Chen F, Wu S.
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Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
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