Results 31 to 40 of about 54,206 (225)
New refinement of the Jensen inequality associated to certain functions with applications
Journal of Inequalities and Applications, 2020 This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory.
Muhammad Adil Khan +2 more
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Kuwait Journal of Science, 2023 We take into account differences resulting from the discrete and integral cyclic Jensen's inequalities and provide upper and lower bounds using weighted Hermite-Hadamard inequalities with the support of Fink's identity.
Saad I. Butt +3 more
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Simpson Type Conformable Fractional Inequalities
Journal of Function Spaces, 2022 In this study, a new Simpson type conformable fractional integral equality for convex functions is established. Based on this identity, some results related to Simpson-like type inequalities are obtained.
Zeynep Şanlı
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Inequalities for 3-convex functions and applications
Journal of New Results in Science, 2022 In this article, we derived new information inequalities on Jain-Saraswat's functional coefficient of distance (2013) for 3-convex functions. Further, we evaluated some important relations among Relative Jensen Shannon coefficient of distance, Relative ...
Praphull Chhabra
doaj +1 more source
On the concavity of the arithmetic volumes [PDF]
, 2014 In this note, we study the differentiability of the arithmetic volumes along arithmetic R-divisors, and give some equality conditions for the Brunn-Minkowski inequality for arithmetic volumes over the cone of nef and big arithmetic R-divisors.Comment: 35
Ikoma, Hideaki
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On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means [PDF]
, 2018 The aim of this paper is to characterize the so-called Hardy means, i.e., those means $M\colon\bigcup_{n=1}^\infty \mathbb{R}_+^n\to\mathbb{R}_+$ that satisfy the inequality $$ \sum_{n=1}^\infty M(x_1,\dots,x_n) \le C\sum_{n=1}^\infty x_n $$ for all ...
Pasteczka, Paweł, Páles, Zsolt
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Semi P-geometric-arithmetically functions and some new related inequalities
Filomat, 2023 In this manuscript, the authors introduce the concept of the semi P-geometric-arithmetically functions (semi P-GA functions) and give their some algebraic properties. Then, they get Hermite-Hadamard?s integral inequalities for semi P-GA-functions (geometric-arithmetically convex).
Kadakal, Mahir +2 more
openaire +1 more source
On the local and global comparison of generalized Bajraktarevi\'c means [PDF]
, 2017 Given two continuous functions $f,g:I\to\mathbb{R}$ such that $g$ is positive and $f/g$ is strictly monotone, a measurable space $(T,A)$, a measurable family of $d$-variable means $m: I^d\times T\to I$, and a probability measure $\mu$ on the measurable ...
Amr Zakaria +26 more
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Formal Verification of Nonlinear Inequalities with Taylor Interval Approximations
, 2013 We present a formal tool for verification of multivariate nonlinear inequalities. Our verification method is based on interval arithmetic with Taylor approximations.
A. Tarski +12 more
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A Survey of Satisfiability Modulo Theory [PDF]
, 2016 Satisfiability modulo theory (SMT) consists in testing the satisfiability of first-order formulas over linear integer or real arithmetic, or other theories.
A Albarghouthi +37 more
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