Results 61 to 70 of about 2,803 (176)

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  

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  

A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]

, 2004
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Dragomir, Sever S, Leping, He, Qiaoshun, Yang   +2 more
core  

Hilbert-type inequalities involving differential operators, the best constants, and applications

, 2015
Motivated by some recent results, in this article we derive several Hilbert-type inequalities with a differential operator, regarding a general homogeneous kernel.
V. Adiyasuren, Tserendorj Batbold, M. Krnić   +2 more
semanticscholar   +1 more source

New inequalities of hermite-hadamard type for convex functions with applications [PDF]

, 2010
In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given.
Havva Kavurmaci, M. Avci, M. Özdemir
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  

Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions

Moroccan Journal of Pure and Applied Analysis, 2022
Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖
Anastassiou George A.
doaj   +1 more source

Latter research on Euler-Mascheroni constant [PDF]

, 2013
In this work, we present a review and an example on some latter results on the problem of approximating the Euler-Mascheroni constant. We use the method firstly introduced in [C. Mortici, Product Approximations via Asymptotic Integration Amer.
Cristea, Valentin Gabriel, Mortici, Cristinel   +1 more
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