Results 51 to 60 of about 1,290 (131)

Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

Demonstratio Mathematica, 2023
In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
doaj   +1 more source

On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration

, 2012
In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are ...
Tunc, Mevlut
core   +1 more source

Some New Variants of Hermite–Hadamard and Fejér‐Type Inequalities for Godunova–Levin Preinvex Class of Interval‐Valued Functions

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan, Waqar Afzal, Waqas Nazeer, Joshua Kiddy K. Asamoah, B. B. Upadhyay   +4 more
wiley   +1 more source

A note on certain convolution operators

, 2013
In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.Comment: 10 ...
Nayar, Piotr, Tkocz, Tomasz
core   +1 more source

Extension of Hu Ke's inequality and its applications

Journal of Inequalities and Applications, 2011
In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
doaj  

Some new nonlinear retarded sum-difference inequalities with applications

Advances in Difference Equations, 2011
The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
doaj  

New Hardy-Type Inequalities with Singular Weights [PDF]

, 2012
2010 Mathematics Subject Classification: 26D10.We prove a new Hardy–type inequality with weights that are possibly singular at internal point and on the boundary of the domain.
Fabricant, Alexander, Kutev, Nikolai, Rangelov, Tsviatko   +2 more
core  

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  

Copson-type Inequalities via the k-Hadamard Operator

Annals of the West University of Timisoara: Mathematics and Computer Science
In this paper, we present a novel class of Copson-type inequalities involving the right-sided k-Hadamard fractional integral operator with all parameters of integrability p ≠ 0 and obtain some classical special cases of Copson inequalities.
Benaissa Bouharket, Azzouz Noureddine
doaj   +1 more source

Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds

Analysis and Geometry in Metric Spaces, 2021
In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry.
Tsuji Hiroshi
doaj   +1 more source