Results 41 to 50 of about 5,472,506 (230)

On some inequalities relative to the Pompeiu–Chebyshev functional

open access: yesJournal 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

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

Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation

open access: yes, 2018
We prove uniqueness theorems concerning the functional inequalities in connection with an n -dimensional cubic-quadratic-additive equation m ∑ i=1 ci f ( ai1x1 +ai2x2 + · · ·+ainxn ) = 0 by applying the direct method.
Yang-Hi Lee, Soon-Mo Jung, M. Rassias
semanticscholar   +1 more source

Monotonicity patterns and functional inequalities for classical and generalized Wright functions [PDF]

open access: yesMathematical Inequalities & Applications, 2017
In this paper our aim is to present the completely monotonicity and convexity properties for the Wright function. As consequences of these results, we present some functional inequalities.
K. Mehrez
semanticscholar   +1 more source

Trends to Equilibrium in Total Variation Distance [PDF]

open access: yes, 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

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

open access: yesMathematics
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   +4 more
doaj   +1 more source

m-Convexity and Functional Equations

open access: yesMoroccan 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   +2 more
doaj   +1 more source

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

open access: yesInternational 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

A Minimal Set of Shannon-type Inequalities for Functional Dependence Structures

open access: yes, 2017
The minimal set of Shannon-type inequalities (referred to as elemental inequalities), plays a central role in determining whether a given inequality is Shannon-type. Often, there arises a situation where one needs to check whether a given inequality is a
Chan, Terence   +2 more
core   +1 more source

Functional inequalities for modified Struve functions [PDF]

open access: yesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2014
By using a general result on the monotonicity of quotients of power series, our aim is to prove some monotonicity and convexity results for the modified Struve functions. Moreover, as consequences of the above-mentioned results, we present some functional inequalities as well as lower and upper bounds for modified Struve functions.
Baricz, Árpád, Pogány, Tibor
openaire   +5 more sources

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