Results 61 to 70 of about 5,545 (117)

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

Notes on certain inequalities by Hölder, Lewent and Ky Fan [PDF]

open access: yesJournal of Mathematical Inequalities, 2007
The aim of this paper is twofold. First we show that the famous H\"older inequality (which one, according to [10] should be called as the Rogers inequality)was discovered by Grolous [5] and Besso [3] about 10 years before Rogers. On the other hand, a result obtained by Lewent [9] leads to a new proof of the famous Ky Fan inequality [2]. Related results
Jovanović, Milan V.   +2 more
openaire   +2 more sources

The domination theorem for operator classes generated by Orlicz spaces

open access: yesMathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.
Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez   +3 more
wiley   +1 more source

Some Refinements of Ky Fan's Inequality

open access: yes, 2004
We give some refinements of Ky Fan’s inequality and also prove some inequalities involving the symmetric ...
Gao, Peng
core  

Federated Learning With Differential Privacy Based on Summary Statistics

open access: yesEngineering Reports, Volume 7, Issue 10, October 2025.
As society progresses, the significance of data becomes increasingly prominent, and simultaneously, the privacy preserving of data is gaining more attention. We apply the Functional mechanism to federated learning and extend their method to (ϵ,δ)$$ \left(\epsilon, \delta \right) $$‐DP by adding Gaussian noise to the coefficient vector of polynomial ...
Peng Zhang, Pingqing Liu
wiley   +1 more source

Applications of generalized Ky Fan's matching theorem in minimax and variational inequality

open access: yes, 2007
Documents de travail du Centre d'Economie de la Sorbonne 2007.78 - ISSN : 1955-611XWe present some application of the generalized Ky Fan's Matching Theorem stated by Chebbi, Gourdel and Hammami in minimax and variational inequalities using a generalized ...
Hammami, Hakim, Gourdel, Pascal
core   +1 more source

Applications of generalized Ky Fan's matching theorem in minimax and variational inequality [PDF]

open access: yes
We present some application of the generalized Ky Fan's Matching Theorem stated by Chebbi, Gourdel and Hammami in minimax and variational inequalities using a generalized coercivity type condition for correspondences defined in L-space.L-structures, L ...
Pascal Gourdel, Hakim Hammami
core  

A generalized FKKM theorem and variational inequality [PDF]

open access: yes
We present a generalized FKKM Theorem and it's application to the existence of solution for the variationals inequalities using a generalized coercivity type condition for correspondences defined in L-space.L-structure, L-spaces, L-KKM correspondences, L-
Hakim Hammami
core  

Conditional $h$-convexity with applications

open access: yes, 2022
In this paper, we introduce the notion of conditional $h$-convex functions and we prove an operator version of the Jensen inequality for conditional $h$-convex functions.
Nikoufar, Ismail, Saeedi, Davuod
core  

Nonlinear Inequality, Fixed Point and NashEquilibrium [PDF]

open access: yes
In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As a consequence, we prove a new fixed point theorem.
Moussa Larbani   +2 more
core  

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