Results 11 to 20 of about 334 (49)

Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations

open access: yesOpen Mathematics, 2020
In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
doaj   +1 more source

Polynomial bivariate copulas of degree five: characterization and some particular inequalities

open access: yesDependence Modeling, 2021
Bivariate polynomial copulas of degree 5 (containing the family of Eyraud-Farlie-Gumbel-Morgenstern copulas) are in a one-to-one correspondence to certain real parameter triplets (a, b, c), i.e., to some set of polynomials in two variables of degree 1: p(
Šeliga Adam   +5 more
doaj   +1 more source

Sharp inequalities for coherent states and their optimizers

open access: yesAdvanced Nonlinear Studies, 2023
We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
doaj   +1 more source

Generalized functional inequalities in Banach spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this paper, we solve and investigate the generalized additive functional inequalities ‖F(∑i=1nxi)-∑i=1nF(xi)‖≤‖F(1n∑i=1nxi)-1n∑i=1nF(xi)‖\left\| {F\left( {\sum\limits_{i = 1}^n {{x_i}} } \right) - \sum\limits_{i = 1}^n {F\left( {{x_i}} \right ...
Dimou H., Aribou Y., Kabbaj S.
doaj   +1 more source

Local stability of the additive functional equation and its applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 1, Page 15-26, 2003., 2003
The main purpose of this paper is to prove the Hyers‐Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen′s functional equation for a large class of restricted domains.
Soon-Mo Jung, Byungbae Kim
wiley   +1 more source

Upper and lower densities have the strong Darboux property [PDF]

open access: yes, 2016
Let $\mathcal{P}({\bf N})$ be the power set of $\bf N$. An upper density (on $\bf N$) is a non\-decreasing and subadditive function $\mu^\ast: \mathcal{P}({\bf N})\to\bf R$ such that $\mu^\ast({\bf N}) = 1$ and $\mu^\ast(k \cdot X + h) = \frac{1}{k} \mu^\
Leonetti, Paolo, Tringali, Salvatore
core   +2 more sources

Functional inequalities for the Bickley function [PDF]

open access: yes, 2013
In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, H\"older-Rogers, Cauchy-Schwarz, Carlson ...
Baricz, Árpád, Pogány, Tibor K.
core   +2 more sources

Functional inequalities involving modified Struve functions [PDF]

open access: yes, 2013
In this paper our aim is to prove some monotonicity and convexity results for the modified Struve function of the second kind by using its integral representation.
Baricz, Árpád, Pogány, Tibor K.
core   +4 more sources

Concentration of measure on product spaces with applications to Markov processes. [PDF]

open access: yes, 2005
For a stochastic process with state space some Polish space, this paper gives sufficient conditions on the initial and conditional distributions for the joint law to satisfy Gaussian concentration and transportation inequalities. In the case of Euclidean
Blower, Gordon, Bolley, Francois
core   +5 more sources

Improved Poincar\'e inequalities [PDF]

open access: yes, 2011
Although the Hardy inequality corresponding to one quadratic singularity, with optimal constant, does not admit any extremal function, it is well known that such a potential can be improved, in the sense that a positive term can be added to the quadratic
Dolbeault, Jean, Volzone, Bruno
core   +2 more sources

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