Results 41 to 50 of about 311,275 (193)

Rényi entropy power inequality and a reverse [PDF]

arXiv.org, 2017
This paper is twofold. In the first part, we present a refinement of the R\'enyi Entropy Power Inequality (EPI) recently obtained in \cite{BM16}. The proof largely follows the approach in \cite{DCT91} of employing Young's convolution inequalities with ...
Jiange Li
semanticscholar   +1 more source

Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense [PDF]

Mathematica Moravica, 2018
In this paper, some Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense are established.
Badreddine Meftah
doaj  

Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

Arab Journal of Mathematical Sciences, 2015
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.
M. Emin Özdemir, Merve Avci Ardic
doaj   +1 more source

Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

Axioms, 2023
In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators.
Asfand Fahad, Saad Ihsaan Butt, Bahtiyar Bayraktar, Mehran Anwar, Yuanheng Wang   +4 more
doaj   +1 more source

The optimization for the inequalities of power means [PDF]

Journal of Inequalities and Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Jiajin, Wang Wan-Lan
openaire   +3 more sources

Some new inequalities for (α,m1,m2 )-GA convex functions

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this manuscript, firstly we introduce and study the concept of (α,m_1,m_2 )-Geometric-Arithmetically (GA) convex functions and some algebraic properties of such type functions.
Mahir Kadakal
doaj   +1 more source

Fractional Hermite–Hadamard-Type Inequalities for Differentiable Preinvex Mappings and Applications to Modified Bessel and q-Digamma Functions

Mathematical and Computational Applications, 2023
The theory of convexity pertaining to fractional calculus is a well-established concept that has attracted significant attention in mathematics and various scientific disciplines for over a century.
Muhammad Tariq, Hijaz Ahmad, Asif Ali Shaikh, Sotiris K. Ntouyas, Evren Hınçal, Sania Qureshi   +5 more
doaj   +1 more source

Optimal power mean bounds for the second Yang mean

, 2016
In this paper, we present the best possible parameters p and q such that the double inequality Mp(a,b)0$ with a≠b$a\neq b$, where Mr(a,b)=[(ar+br)/2]1/r$M_{r}(a,b)=[(a^{r}+b^{r})/2]^{1/r}$ (r≠0$r\neq0$) and M0(a,b)=ab$M_{0}(a,b)= \sqrt {ab}$ is the rth ...
Jun-Feng Li, Zhen-Hang Yang, Y. Chu
semanticscholar   +1 more source

Some Inequalities Involving Weighted Power Mean

Tatra Mountains Mathematical Publications
Abstract In this paper, we first show some inequalities on weighted power mean. When a, b > 0, p ≥ 1and 0 <v ≤ τ< 1, we have v τ
Zuo, Hongliang, Niu, Xinyu
openaire   +2 more sources

Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type [PDF]

Sahand Communications in Mathematical Analysis
New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for $(h,m,s)$-convex modified second type functions have been obtained in this article. To achieve these results, we used the Holder inequality and
Juan Napoles Valdes, Bahtiyar Bayraktar
doaj   +1 more source