Results 21 to 30 of about 25,300 (266)

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
doaj   +1 more source

An inequality for bounded functions [PDF]

Mathematical Inequalities & Applications, 2014
In this note we prove optimal inequalities for bounded functions in terms of their deviation from their mean. These results extend and generalize some known inequalities due to Thong (2011) and Perfetti (2011)
openaire   +2 more sources

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  

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

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

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

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

Fixed Points in Functional Inequalities

Journal of Inequalities and Applications, 2009
Using fixed point methods, we prove the generalized Hyers-Ulam stability of the following functional inequalities ‖f(x)+f(y)+f(z)‖≤‖f(x+y+z)‖ and ‖f(x)+f(y)+2f(z)‖≤‖2f((x+y)/2+z)‖ ...
Choonkil Park
doaj   +1 more source

Coefficient Inequalities of Functions Associated with Petal Type Domains

Mathematics, 2018
In the theory of analytic and univalent functions, coefficients of functions’ Taylor series representation and their related functional inequalities are of major interest and how they estimate functions’ growth in their specified domains. One
Sarfraz Nawaz Malik, Shahid Mahmood, Mohsan Raza, Sumbal Farman, Saira Zainab   +4 more
doaj   +1 more source