Results 61 to 70 of about 1,946 (136)
The Median Principle for Inequalities and Applications [PDF]
The median principle is applied for different integral inequalities of Gruss and Ostrowski type.
arxiv
Sharp Gautschi inequality for parameter 0
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
Some new finite difference inequalities arising in the theory of difference equations
In this work, some new finite difference inequalities in two independent variables are established, which can be used in the study of qualitative as well as quantitative properties of solutions of certain difference equations.
Meng Fanwei, Feng Qinghua, Zhang Yaoming
doaj
New Inequalities of Gruss Type for the Stieltjes Integral and Applications [PDF]
Sharp inequalitieis of Gruss type for Stieltjes integrals with application in numerical integration are provided.
arxiv
Hardy-type Inequalities Via Auxiliary Sequences [PDF]
We prove some Hardy-type inequalities via an approach that involves constructing auxiliary sequences.
arxiv +1 more source
Simpson type quantum integral inequalities for convex functions
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
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+3 more
semanticscholar +1 more source
On improvements of the Rozanova's inequality
In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estimates on ...
Cheung Wing-Sum, Zhao Chang-Jian
doaj
On some inequalities for Gaussian measures [PDF]
We review several inequalities concerning Gaussian measures - isoperimetric inequality, Ehrhard's inequality, Bobkov's inequality, S-inequality and correlation conjecture.
arxiv
Sums of Powers and Majorization [PDF]
We study certain sequences involving sums of powers of positive integers and in connection with this, we give examples to show that power majorization does not imply majorization.
arxiv +1 more source