Results 1 to 10 of about 321,635 (291)

Isoperimetric and Functional Inequalities

Моделирование и анализ информационных систем, 2018
We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) --
Vladimir S. Klimov
doaj   +1 more source

Generalizations of Ostrowski type inequalities via Hermite polynomials

Journal of Inequalities and Applications, 2020
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić, Josip Pečarić, Mihaela Ribičić Penava   +2 more
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On some inequalities relative to the Pompeiu–Chebyshev functional

Journal of Inequalities and Applications, 2020
In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals, in which linear and positive functionals ...
Daniel Ianoşi, Adonia-Augustina Opriş
doaj   +1 more source

Generalized functional inequalities in Banach spaces

Moroccan 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

Iteration groups, commuting functions and simultaneous systems of linear functional equations [PDF]

Opuscula Mathematica, 2008
Let \(( f^t )_{t \in \mathbb{R}}\) be a measurable iteration group on an open interval \(I\). Under some conditions, we prove that the inequalies \(g\circ f^a \leq f^a \circ g\) and \(g\circ f^b \leq f^b\circ g\) for some \(a,b \in \mathbb{R}\) imply ...
Janusz Matkowski
doaj  

Functional inequalities for generalized multi-quadratic mappings

Journal of Inequalities and Applications, 2021
In this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation.
Abasalt Bodaghi
doaj   +1 more source

Trends to Equilibrium in Total Variation Distance [PDF]

, 2007
This paper presents different approaches, based on functional inequalities, to study the speed of convergence in total variation distance of ergodic diffusion processes with initial law satisfying a given integrability condition.
Cattiaux, Patrick, Guillin, Arnaud
core   +5 more sources

Generalized Stability Additive λ-Functional Inequalities With 3k-Variable in α-Homogeneous F-Spaces

International Journal of Analysis and Applications, 2022
In this paper, we study to solve two additive λ-functional inequalities with 3k-variables in α-homogeneous F spaces. Then we will show that the solutions of the first and second inequalities are additive mappings.
Ly Van An
doaj   +1 more source

m-Convexity and Functional Equations

Moroccan Journal of Pure and Applied Analysis, 2017
In this research we aim to explore some properties of m-convex functions from the point of view of functional equations or better, functional inequalities.
Lara Teodoro, Quintero Roy, Rosales Edgar   +2 more
doaj   +1 more source

Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain

Mathematics
In this paper, we introduce two novel subclasses of analytic functions, namely, starlike and convex functions of Ma–Minda-type, associated with a newly proposed domain.
Adel Salim Tayyah, Sarem H. Hadi, Abdullah Alatawi, Muhammad Abbas, Ovidiu Bagdasar   +4 more
doaj   +1 more source