Results 21 to 30 of about 934 (139)

Jessen's functional, its properties and applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results,
Lovričević Neda, Pečarić Josip, Krnić Mario   +2 more
doaj   +1 more source

On a converse of Young’s inequality

, 1972
A converse of Young’s inequality is proved through the formulation of a functional inequality.
Ih Ching Hsu
core   +1 more source

A New Refinement of Young's Inequality

, 2007
In this short note, the well-known Young’s inequality is refined by a double ...
Qi, Feng, Abdolhossein Hoorfar, Hoorfar, Abdolhossein, Feng Qi   +3 more
core   +1 more source

On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel

Journal of Inequalities and Applications, 2021
The main motivation of this study is to bring together the field of inequalities with fractional integral operators, which are the focus of attention among fractional integral operators with their features and frequency of use.
Havva Kavurmacı Önalan, Ahmet Ocak Akdemir, Merve Avcı Ardıç, Dumitru Baleanu   +3 more
doaj   +1 more source

Generalizations and applications of Young’s integral inequality by higher order derivatives

Journal of Inequalities and Applications, 2019
In the paper, the authors 1.generalize Young’s integral inequality via Taylor’s theorems in terms of higher order derivatives and their norms, and2.apply newly-established integral inequalities to estimate several concrete definite integrals, including a
Jun-Qing Wang, Bai-Ni Guo, Feng Qi
doaj   +1 more source

An equivalent form of young's inequality with upper bound

, 2008
Young’s integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young’s inequality, and the cases in which the equality holds become particularly transparent in the new ...
E. Minguzzi, Minguzzi, Ettore
core   +1 more source

Robust Control of a Class of Nonlinear Discrete-Time Systems: Design and Experimental Results on a Real-Time Emulator

Actuators, 2021
The aim of this study is to develop a new observer-based stabilization strategy for a class of Lipschitz uncertain systems. This new strategy improves the performances of existing methods and ensures better convergence conditions. Sliding window approach
Noussaiba Gasmi, Mohamed Boutayeb, Assem Thabet, Ghazi Bel Haj Frej, Mohamed Aoun   +4 more
doaj   +1 more source

Young’s inequality and trace

, 2009
Let φ be a positive linear functional on Mn(C) and f,g mutually conjugate in the sense of Young. In this note we show a necessary and sufficient condition for the inequality|φ(A∗B)|≦φf(|A|)+φg(|B|)(A,B∈Mn(C))in terms of φ and f.
Sano, Takashi, Cho, Kazuki
core   +1 more source

Stochastic Delay Logistic Model under Regime Switching

Abstract and Applied Analysis, 2012
This paper is concerned with a delay logistical model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall's inequality, and Young's inequality, some sufficient conditions for existence of global positive ...
Zheng Wu, Hao Huang, Lianglong Wang
doaj   +1 more source

Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space

Open Mathematics, 2022
In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
doaj   +1 more source