Results 101 to 110 of about 2,843 (179)

New integral inequalities involving beta function via $P$-convexity

, 2014
In this note we establish some estimates, involving the Euler Beta function, of the integral R b a .x a/ p.b x/qf .x/dx for functions when a power of the absolute value isP convex. An extension to functions of several variables is also obtained.
Wenjun Liu
semanticscholar   +1 more source

Refined Young Inequality and Its Application to Divergences. [PDF]

Entropy (Basel), 2021
Furuichi S, Minculete N.
europepmc   +1 more source

Inequalities for Jensen-Sharma-Mittal and Jeffreys-Sharma-Mittal Type f-Divergences. [PDF]

Entropy (Basel), 2021
Kluza PA.
europepmc   +1 more source

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  

A Counterpart of Schwarz's Inequality in Inner Product Spaces

, 2003
A new counterpart of Schwarz's inequality in inner product spaces and applications for isotonic functionals, integrals and sequences are ...
Dragomir, Sever Silvestru
core   +1 more source

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  

Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law

Open Mathematics, 2018
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed, Pečarić Đilda, Pečarić Josip   +2 more
doaj   +1 more source

On parameterized inequalities for fractional multiplicative integrals

Demonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng, Meftah Badreddine, Xu Hongyan, Jarad Fahd, Lakhdari Abdelghani   +4 more
doaj   +1 more source

Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences. [PDF]

Entropy (Basel), 2023
Horváth L.
europepmc   +1 more source

On some new inequalities for differentiable co-ordinated convex functions

, 2012
Several new inequalities for differentiable co-ordinated convex and concave functions in two variables which are related to the left side of Hermite- Hadamard type inequality for co-ordinated convex functions in two variables are obtained.Mathematics ...
M. Latif, S. Dragomir
semanticscholar   +1 more source