Results 11 to 20 of about 360 (83)
Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities
Open Mathematics, 2012 In this paper, the connection between the functional inequalities $$ f\Big(\frac{x+y}{2}\Big)\leq\frac{f(x)+f(y)}{2}+\alpha_J(x-y) \qquad (x,y\in D)$$ and $$ \int_0^1f\big(tx+(1-t)y\big)\rho(t)dt \leq\lambda f(x)+(1-\lambda)f(y) +\alpha_H(x-y) \qquad (x ...
Makó Judit, Páles Zsolt
doaj +2 more sources
Axiomatizations of signed discrete Choquet integrals [PDF]
, 2010 We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lov\'asz extension of a pseudo-Boolean function which vanishes at the origin.
Cardin, Marta +3 more
core +4 more sources
On a Functional Equation Appearing on the Margins of a Mean Invariance Problem
Annales Mathematicae Silesianae, 2020 Given a continuous strictly monotonic real-valued function α, defined on an interval I, and a function ω : I → (0, +∞) we denote by Bαω the Bajraktarević mean generated by α and weighted by ω:
Jarczyk Justyna, Jarczyk Witold
doaj +1 more source
On the commutation of generalized means on probability spaces [PDF]
, 2016 Let $f$ and $g$ be real-valued continuous injections defined on a non-empty real interval $I$, and let $(X, \mathscr{L}, \lambda)$ and $(Y, \mathscr{M}, \mu)$ be probability spaces in each of which there is at least one measurable set whose measure is ...
Leonetti, Paolo +2 more
core +2 more sources
Why do Solutions of the Maxwell-Boltzmann Equation Tend to be Gaussians? A Simple Answer
Documenta Mathematica, 2017 The Maxwell-Boltzmann functional equation has recently attraction renewed interest since besides its importance in Boltzmann’s kinetic theory of gases it also characterizes maximizers of certain bilinear estimates for solutions of the free Schrödinger ...
D. Hundertmark, Young-Ran Lee
semanticscholar +1 more source
Continuous horizontally rigid functions of two variables are affine [PDF]
, 2011 Cain, Clark and Rose defined a function $f\colon \RR^n \to \RR$ to be \emph{vertically rigid} if $\graph(cf)$ is isometric to $\graph (f)$ for every $c \neq 0$.
Balka, Richárd, Elekes, Márton
core +2 more sources
Ill‐posed equations with transformed argument
Abstract and Applied Analysis, Volume 2003, Issue 13, Page 785-791, 2003., 2003 We discuss the operator transforming the argument of a function in the L2‐setting. Here this operator is unbounded and closed. For the approximate solution of ill‐posed equations with closed operators, we present a new view on the Tikhonov regularization.
Simone Gramsch, Eberhard Schock
wiley +1 more source
On local properties of compactly supported solutions of the two‐coefficient dilation equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 3, Page 139-148, 2002., 2002 Let a and b be reals. We consider the compactly supported solutions φ : ℝ → ℝ of the two‐coefficient dilation equation φ(x) = aφ(2x) + bφ(2x − 1). In this paper, we determine sets Ba,b, Ca,b, and Za,b defined in the following way: let x ∈ [0, 1]. We say that x ∈ Ba,b (resp., x ∈ Ca,b, x ∈ Za,b) if the zero function is the only compactly supported ...
Janusz Morawiec
wiley +1 more source
On the equality of Bajraktarevi\'c means to quasi-arithmetic means [PDF]
, 2019 This paper offers a solution of the functional equation $$ \big(tf(x)+(1-t)f(y)\big)\varphi(tx+(1-t)y)=tf(x)\varphi(x)+(1-t)f(y)\varphi(y) \qquad(x,y\in I), $$ where $t\in\,]0,1[\,$ is a fixed number, $\varphi:I\to\mathbb{R}$ is strictly monotone ...
Páles, Zsolt, Zakaria, Amr
core +2 more sources
On applications of inequalities for quasideviation means in actuarial mathematics
, 2018 Applying the results of Zs. Páles, concerning the inequalities for quasideviation means, we characterize some natural properties of implicitly defined functional stemming from actuarial mathematics. Mathematics subject classification (2010): 39B22, 91B16.
J. Chudziak
semanticscholar +1 more source