Results 101 to 110 of about 340 (177)

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  

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

Better Approximations for Quasi-Convex Functions [PDF]

In this paper, by using Hölder-İşcan Hölder integral inequality and a general identity for differentiable functions, we can get new estimates on generalization of Hadamard, Ostrowski and Simpson type integral inequalities for functions whose derivatives ...
KADAKAL, Huriye
core   +1 more source

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

Demonstratio Mathematica
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained.
Sun Wenbing, Wan Haiyang
doaj   +1 more source

SEVERAL NEW PERTURBED OSTROWSKI-LIKE TYPE INEQUALITIES

, 2007
. Several new perturbed Ostrowski-like type inequalities are established. Some recently results are generalized and other interesting inequalities are given as special cases. Furthermore, the first inequality we obtained is sharp.
Qiao-ling Xue, Shun-feng Wang, Wen-jun Liu   +2 more
core  

Certain new Factor Theorems for Infinite Series and Trigonometric Fourier Series

, 2020
In this paper, rstly we proved a general theorem dealing with absolute Riesz summability factors of innite series under weaker conditions. And  secondly we applied it to the trigonometric Fourier series.
Bor, Huseyin
core  

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

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 fractional estimates of Hermite-Hadamard inequalities and applications to means [PDF]

, 2016
The main objective of this paper is to obtain some new fractional estimates of Hermite-Hadamard type inequalities via h-convex functions. A new fractional integral identity for three times differentiable function is established.
AWAN, Muhammad Uzair, NOOR, Khalida Inayat, NOOR, Muhammad Aslam   +2 more
core  

A Cauchy type inequality for Möbius operations. [PDF]

J Inequal Appl, 2018
Watanabe K.
europepmc   +1 more source