Results 101 to 110 of about 2,803 (176)

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  

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

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  

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Open Mathematics, 2018
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
doaj   +1 more source

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

M\"untz spaces and Remez inequalities

, 1994
Two relatively long-standing conjectures concerning M\"untz polynomials are resolved.
Borwein, Peter, Erdélyi, Tamás
core   +2 more sources

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

Adaptive Integration of Convex Functions of One Real Variable

Annales Mathematicae Silesianae
We present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
doaj   +1 more source

New extensions related to Fejér-type inequalities for GA-convex functions

Demonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

A new extended Mulholland's inequality involving one partial sum

Open Mathematics
By using the weight coefficients and the techniques of real analysis, a new extended Mulholland’s inequality with multi-parameters involving one partial sum is given. The equivalent statements of the best value related to several parameters are provided.
Peng Ling, Yang Bicheng
doaj   +1 more source