Results 31 to 40 of about 53,856 (206)
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
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Reducible means and reducible inequalities [PDF]
, 2016 It is well-known that if a real valued function acting on a convex set satisfies the $n$-variable Jensen inequality, for some natural number $n\geq 2$, then, for all $k\in\{1,\dots, n\}$, it fulfills the $k$-variable Jensen inequality as well.
C Gini +28 more
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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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, 2013 We investigate the representation of homogeneous, symmetric means in the form M(x,y)=\frac{x-y}{2f((x-y)/(x+y))}. This allows for a new approach to comparing means. As an example, we provide optimal estimate of the form (1-\mu)min(x,y)+ \mu max(x,y)
Witkowski, Alfred
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Extensions and improvements of Sherman’s and related inequalities for n-convex functions
Open Mathematics, 2017 This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić +1 more
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Operator Ky Fan type inequalities
, 2018 In this paper, we extend some significant Ky Fan type inequalities in a large setting to operators on Hilbert spaces and derive their equality conditions.
Habibzadeh, S. +2 more
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Some integral inequalities for operator arithmetic-geometrically convex functions
, 2015 In this paper, we introduce the concept of operator arithmetic-geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give some refinements of previous results.
Taghavi, Ali +2 more
openaire +2 more sources