Results 61 to 70 of about 2,843 (179)

Extension of Hu Ke's inequality and its applications

Journal of Inequalities and Applications, 2011
In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
doaj  

On an Open Problem by Feng Qi Regarding an Integral Inequality [PDF]

, 2002
In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
core  

Sharp Gautschi inequality for parameter 0

, 2017
In the article, we present the best possible parameters a,b on the interval (0,∞) such that the Gautschi double inequality [(xp +a) − x]/a < ex ∫ ∞ x e−t p dt < [(xp +b) − x]/b holds for all x > 0 and p ∈ (0,1) .
Zhen-Hang Yang, E. Zhang, Y. Chu
semanticscholar   +1 more source

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah, Edward Prempeh, Narendra K. Govil   +2 more
wiley   +1 more source

On some Opial-type inequalities

Journal of Inequalities and Applications, 2011
In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

Special Matrices, 2018
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj   +1 more source

Simpson type quantum integral inequalities for convex functions

, 2018
In this paper we establish some new Simpson type quantum integral inequalities for convex functions. Moreover, we obtain some inequalities for special means.
Mevlut Tunc, E. Göv, S. Balgecti
semanticscholar   +1 more source

Some Hermite-Jensen-Mercer like inequalities for convex functions through a certain generalized fractional integrals and related results

Miskolc Mathematical Notes, 2020
In this article, in light of Jensen-Mercer inequality for functions whose derivatives in the absolute values are convex, some new Hermite-Jensen-Mercer inequalities have been obtained with the help of generalized types of fractional integral operators ...
S. Butt, A. Akdemi̇r, Jamshed Nasir, F. Jarad   +3 more
semanticscholar   +1 more source

Qualitative and quantitative analysis for solutions to a class of Volterra-Fredholm type difference equation

Advances in Difference Equations, 2011
In this paper, we present some new discrete Volterra-Fredholm type inequalities, based on which we study the qualitative and quantitative properties of solutions of a class of Volterra-Fredholm type difference equation.
Zheng Bin
doaj  

Hermite-Hadamard type integral inequalities for products of two generalized (s; m; ξ)-preinvex functions

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, the notion of generalized (s; m; ξ)-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized (s; m; ξ)-preinvex functions along with beta ...
Kashuri Artion, Liko Rozana
doaj   +1 more source