Results 61 to 70 of about 23,806 (313)

On an Open Problem by Feng Qi Regarding an Integral Inequality

, 2002
In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
core  

On Grüss type inequality for a hypergeometric fractional integral

Le Matematiche, 2011
Aim of the present paper is to investigate a new integral inequality of Grüss type for a hypergeometric fractional integral. Two main results are proved, the first one deals with Grüss type inequality using the hypergeometric fractional integral.
Shyam L. Kalla, Alka Rao
doaj  

Some Carleman-type inequalities in ( p , q ) $(p,q)$ -calculus

Journal of Inequalities and Applications
In this paper, we construct ( p , q ) $\left (p,q\right )$ -type Jessen’s inequality using the properties of convex functions. On this basis, we generalize the classical Carleman integral-type inequality in ( p , q ) $\left (p,q\right )$ -calculus and ...
Jiao Yu, Lin Han
doaj   +1 more source

A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications

, 2004
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Leping, He, Dragomir, Sever S, Qiaoshun, Yang   +2 more
core  

A Physics Constrained Machine Learning Pipeline for Young's Modulus Prediction in Multimaterial Hyperelastic Cylinders Guided by Contact Mechanics

Advanced Intelligent Discovery, EarlyView.
A physics‐guided machine learning framework estimates Young's modulus in multilayered multimaterial hyperelastic cylinders using contact mechanics. A semiempirical stiffness law is embedded into a custom neural network, ensuring physically consistent predictions. Validation against experimental and numerical data on C.
Christoforos Rekatsinas, Panagiotis Krokidas, Vasileios Vavourakis, Clara Essmann, George Giannakopoulos   +4 more
wiley   +1 more source

A Generalization on Some New Types of Hardy-Hilbert’s Integral Inequalities

Journal of Function Spaces and Applications, 2013
Sulaiman presented, in 2008, new kinds of Hardy-Hilbert’s integral inequality in which the weight function is homogeneous. In this paper, we present a generalization on the kinds of Hardy-Hilbert’s integral inequality.
Banyat Sroysang
doaj   +1 more source

NOTES ON INTEGRAL INEQUALITIES

Demonstratio Mathematica, 2008
AbstractNew results, generalizations and improvements concerning several integral inequalities are obtained.
openaire   +1 more source

A Weighted Interpolation for Jensen’s Integral Inequality and Some Converse Results

, 2001
A weighted interpolation of Jensen’s integral inequality and some applications for Hadamard’s inequality are ...
Pearce, Charles, Pecaric, Josep, Dragomir, Sever S   +2 more
core  

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Generalized Steffensen Inequalities for Local Fractional Integrals

International Journal of Analysis and Applications, 2017
Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these
Mehmet Zeki Sarikaya, Tuba Tunc, Samet Erden   +2 more
doaj   +2 more sources