Results 21 to 30 of about 446 (83)

A new generalization of two refined Young inequalities and applications

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we prove that if a, b > 0 and 0 ≤ α ≤ 1, then for m = 1, 2, 3, . . . ,
Ighachane M. A., Akkouchi M.
doaj   +1 more source

Inequalities for the generalized trigonometric and hyperbolic functions

Open Mathematics, 2020
In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics.
Ma Xiaoyan, Si Xiangbin, Zhong Genhong, He Jianhui   +3 more
doaj   +1 more source

Sum of squared logarithms - An inequality relating positive definite matrices and their matrix logarithm [PDF]

, 2013
Let y1, y2, y3, a1, a2, a3 > 0 be such that y1 y2 y3 = a1 a2 a3 and y1 + y2 + y3 >= a1 + a2 + a3, y1 y2 + y2 y3 + y1 y3 >= a1 a2 + a2 a3 + a1 a3. Then the following inequality holds (log y1)^2 + (log y2)^2 + (log y3)^2 >= (log a1)^2 + (log a2)^2 + (log
Birsan, Mircea, Lankeit, Johannes, Neff, Patrizio   +2 more
core   +2 more sources

Are There Any Natural Physical Interpretations for Some Elementary Inequalities?

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space.
Bosko Wladimir G., Suceavă Bogdan D.
doaj   +1 more source

An extension of an inequality for ratios of gamma functions [PDF]

, 2011
In this paper, we prove that for $x+y>0$ and $y+1>0$ the inequality {equation*} \frac{[\Gamma(x+y+1)/\Gamma(y+1)]^{1/x}}{[\Gamma(x+y+2)/\Gamma(y+1)]^{1/(x+1)}} 1$ and reversed if ...
Abramovich, Alzer, Alzer, Alzer, Bai-Ni Guo, Bennett, Chen, Dubourdieu, Feng Qi, Guo, Guo, Ismail, Ismail, Minc, Muldoon, Qi, Qi, Qi, Qi, Qi, Qi, Yu   +21 more
core   +2 more sources

On further refinements for Young inequalities

Open Mathematics, 2018
In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
doaj   +1 more source

A completely monotonic function involving the tri- and tetra-gamma functions

, 2010
The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
core   +1 more source

An inequality for completely monotone functions [PDF]

arXiv, 2022
An inequality, which combines the concept of completely monotone functions with the theory of divided differences, is proposed. It is a straightforward generalization of a result, recently introduced by two of the present authors.
arxiv  

A generalization of a half-discrete Hilbert's inequality

, 2016
Considering some parameters and by means of an inequality of Hadamard, we derive general half-discrete Hilbert-type inequalities. Then we highlight some special cases.Comment: This paper has been withdrawn by the author due to a conflict with my ...
Abuelela, Waleed
core   +2 more sources

Turán-type inequaities for generalized polygamma function [PDF]

arXiv, 2022
Inspired by the work of C. Mortici [1] and A. Laforgia et. al [2] we have established some new Tur\'an-type inequalities for k-polygamma function and p-k-polygamma function.
arxiv