Results 111 to 120 of about 2,031 (186)

On the refinements of the Jensen-Steffensen inequality

Journal of Inequalities and Applications, 2011
In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via these inequalities and prove monotonicity property of ...
Khalid Sadia, Pečarić Josip, Franjić Iva   +2 more
doaj  

An Extension of Alzer's Inequality [PDF]

arXiv, 2007
In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.
arxiv  

Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations

Journal of Inequalities and Applications, 2011
In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming, Zheng Bin, Zhou Jinchuan, Feng Qinghua, Meng Fanwei   +4 more
doaj  

Equivalent inequalities [PDF]

arXiv, 2008
Equivalencies of many basic elementary inequalities are ...
arxiv  

Accentuate the negative [PDF]

arXiv, 2008
A survey of mean inequalities with real weights is given.
arxiv  

Bead sliding and convex inequalities [PDF]

arXiv, 2009
We analyze a bead sliding game and relate it to some classical convex inequalities.
arxiv  

On the Ostrowski type integral inequality for double integrals [PDF]

arXiv, 2010
In this note, we establish new an inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.
arxiv  

Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

Annales Mathematicae Silesianae
In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be completely
Páles Zsolt, Pasteczka Paweł
doaj   +1 more source

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Open Mathematics
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet, Meftah Badreddine, Lakhdari Abdelghani, Alqudah Manar A.   +3 more
doaj   +1 more source

Construction of a class of half-discrete Hilbert-type inequalities in the whole plane

Open Mathematics
In this work, we first define two special sets of real numbers, and then, we construct a half-discrete kernel function where the variables are defined in the whole plane, and the parameters in the kernel function are limited to the newly constructed ...
You Minghui
doaj   +1 more source