On extensions and refinements of Hermite-Hadamard inequalities for convex functions [PDF]
, 2003 Liang-Cheng Wang
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On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions
Mathematics, 2019 In this paper, we establish some new results on the left-hand side of the q-Hermite−Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et.
Seksan Jhanthanam +3 more
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Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality [PDF]
arXiv, 2011 We give a functional version of the affine isoperimetric inequality for log-concave functions which may be interpreted as an inverse form of a logarithmic Sobolev inequality inequality for entropy. A linearization of this inequality gives an inverse inequality to the Poincar'e inequality for the Gaussian measure.
arxiv
A Sequence of Mappings Associated with the Hermite-Hadamard Inequalities and Applications [PDF]
, 2004 Sever S Dragomir
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The Jensen and Hermite-Hadamard inequalities
, 2022 The aim of this presentation is to show the Jensen and Hermite-Hadamard inequalities for convex functions of several variables as general as possible. In this regard, we rely on the decomposition of a nonempty convex set C in the n-dimensional real space.
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Log-Sobolev, isoperimetry and transport inequalities on graphs [PDF]
arXiv, 2015 In this paper, we study some functional inequalities (such as Poincar\'e inequalities, logarithmic Sobolev inequalities, generalized Cheeger isoperimetric inequalities, transportation-information inequalities and transportation-entropy inequalities) for reversible nearest-neighbor Markov processes on a connected finite graph by means of (random) path ...
arxiv
Four Talagrand inequalities under the same umbrella [PDF]
arXiv, 2019 This note reviews the studies of the last decades emphasizing a common principle based on entropy, logarithmic Sobolev inequality and hypercontractivity, behind four most celebrated inequalities by M. Talagrand: the convex distance inequality, the $\mathrm {L}^1$-$\mathrm {L}^2$ variance inequality, the quadratic transportation cost inequality, and the
arxiv
Quantum Estimates for Different Type Intequalities through Generalized Convexity. [PDF]
Entropy (Basel), 2022 Almutairi OB.
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AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY THROUGH SUBHARMONIC FUNCTIONS* [PDF]
, 2007 Mihai Mihăilescu +1 more
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New Parameterized Inequalities for η-Quasiconvex Functions via (p, q)-Calculus. [PDF]
Entropy (Basel), 2021 Kalsoom H +3 more
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