Results 51 to 60 of about 5,472,506 (230)

Additive s-functional inequalities and partial multipliers in Banach algebras

open access: yesJournal of Mathematical Inequalities, 2019
. In this paper, we solve the additive s -functional inequalities where s is a fi xed nonzero complex number with | s | < 1, and where s is a fi xed nonzero complex number with | s | < 1.
Choonkill Park
semanticscholar   +1 more source

Fixed Points in Functional Inequalities

open access: yesJournal 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

Testing for a General Class of Functional Inequalities [PDF]

open access: yes, 2013
In this paper, we propose a general method for testing inequality restrictions on nonparametric functions. Our framework includes many nonparametric testing problems in a unified framework, with a number of possible applications in auction models, game ...
Lee, Sokbae   +2 more
core   +4 more sources

Bi-additive s-Functional Inequalities and Quasi-$$*$$∗-Multipliers on Banach Algebras

open access: yesRocky Mountain Journal of Mathematics, 2018
In this paper, we solve the following bi-additive s-functional inequalities where s is a fixed nonzero complex number with $$|s |< 1$$|s|
Choonkill Park
semanticscholar   +1 more source

Bounds for certain function related to the incomplete Fox-Wright function

open access: yesAIMS Mathematics
Motivated by the recent investigations of several authors, the main aim of this article is to derive several functional inequalities for a class of functions related to the incomplete Fox-Wright functions that were introduced and studied recently ...
Khaled Mehrez , Abdulaziz Alenazi
doaj   +1 more source

Coefficient Inequalities of Functions Associated with Petal Type Domains

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

Entropy Inequalities for Lattices

open access: yesEntropy, 2018
We study entropy inequalities for variables that are related by functional dependencies. Although the powerset on four variables is the smallest Boolean lattice with non-Shannon inequalities, there exist lattices with many more variables where the ...
Peter Harremoës
doaj   +1 more source

Some remarks on transportation cost and related inequalities

open access: yes, 2004
We discuss transportation cost inequalities for uniform measures on convex bodies, and connections with other geometric and functional inequalities. In particular, we show how transportation inequalities can be applied to the slicing problem, and give a ...
Meckes, Mark W.
core   +3 more sources

Inequalities for Cyclic Functions

open access: yesJournal of Approximation Theory, 2001
The cyclic functions are defined as the cyclic partial sums of the exponential function \[ \varphi_n(z):=\sum_{\nu=0}^\infty {z^{n\nu}\over (n\nu)!} \qquad (z\in {\mathbb C},\;2\leq n\in{\mathbb N}). \] In the special case \(n=2\), \(\varphi_2\) is the classical cosine hyperbolic function.
Alzer, H, Ruscheweyh, S, Salinas, L
openaire   +4 more sources

Multiscale functional inequalities in probability: Constructive approach

open access: yesAnnales Henri Lebesgue, 2017
Consider an ergodic stationary random field $A$ on the ambient space $\mathbb R^d$. In order to establish concentration properties for nonlinear functions $Z(A)$, it is standard to appeal to functional inequalities like Poincare or logarithmic Sobolev ...
Mitia Duerinckx, A. Gloria
semanticscholar   +1 more source

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