Results 101 to 110 of about 27,878 (202)

On Hadamard and Fejér–Hadamard Inequalities for Fractional Integrals Involving Mittag‐Leffler‐Type Function of Arbitrary Order

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad, Jihad Younis, Maryam Salem Alatawi, Ali N. A. Koam, Shanhe Wu   +4 more
wiley   +1 more source

New refinements of the Hadamard inequality on coordinated convex function

Journal of Inequalities and Applications, 2019
In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found.
Ahoud Almutairi, Adem Kılıçman
doaj   +1 more source

New Inequalities and an Integral Expression for the 𝒜‐Berezin Number

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi, Ahad Alotaibi, Cristian Conde, Kais Feki, Ding-Xuan Zhou   +4 more
wiley   +1 more source

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source

Application of Functionals in Creating Inequalities

Journal of Function Spaces, 2016
The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen’s inequality.
Zlatko Pavić, Shanhe Wu, Vedran Novoselac   +2 more
doaj   +1 more source

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
doaj   +1 more source

Extended Hermite–Hadamard inequalities

AIMS Mathematics
<p>In this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application.</p>
Lakhlifa Sadek, Ali Algefary
openaire   +2 more sources

Multi-dimensional Hadamard's inequalities

Tamkang Journal of Mathematics, 2012
In this paper, Hadamard's inequalities are extended to a convex function on a convex set in $R^2$ or $R^3$. In particular, it is proved that the average of convex function on a ball of radius $r$ is between the average of the function on the circle of radius r and that on the circle of $\frac{2r}{3}$
openaire   +3 more sources

Noncommutative Chebyshev inequality involving the Hadamard product

, 2018
We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space operators.
Bakherad, Mojtaba, Dragomir, Silvestru Sever   +1 more
core  

Caccioppoli's inequality and Legendre-Hadamard condition

Mathematische Annalen, 1985
Let us consider the quasilinear system \[ (1)\quad \sum^{N}_{i=1}\sum^{n}_{\alpha =1}D_{\beta}[A_{ij}^{\alpha \beta}(x,u)D_{\alpha}u^ i]=0,\quad in\quad \Omega \subset R^ n. \] It is well-known [see the first author, Multiple integrals in the calculus of variations and nonlinear elliptic systems, Ann. Math. Stud.
Giaquinta, Mariano, Soucek, Jiri
openaire   +2 more sources