Results 11 to 20 of about 338 (47)

Landen inequalities for special functions [PDF]

open access: yes, 2013
In this paper our aim is to present some Landen inequalities for Gaussian hypergeometric functions, confluent hypergeometric functions, generalized Bessel functions and for general power series.
Baricz, Árpád
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

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

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

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

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

Stochastic homogenization of subdifferential inclusions via scale integration [PDF]

open access: yes, 2010
We study the stochastic homogenization of the system -div \sigma^\epsilon = f^\epsilon \sigma^\epsilon \in \partial \phi^\epsilon (\nabla u^\epsilon), where (\phi^\epsilon) is a sequence of convex stationary random fields, with p-growth.
Veneroni, Marco
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

Composition iterates, Cauchy, translation, and Sincov inclusions

open access: yesActa Universitatis Sapientiae: Mathematica, 2020
Improving and extending some ideas of Gottlob Frege from 1874 (on a generalization of the notion of the composition iterates of a function), we consider the composition iterates ϕn of a relation ϕ on X, defined by ϕ0=Δx,  ϕn=ϕ∘ϕn-1 if n∈𝕅,  and   ϕ∞=∪n=0∞
Fechner Włodzimierz, Száz Árpád
doaj   +1 more source

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