Results 51 to 60 of about 360 (83)

A new generalization of the Takagi function [PDF]

, 2015
We consider a one-parameter family of functions $\{F(t,x)\}_{t}$ on $[0,1]$ and partial derivatives $\partial_{t}^{k} F(t, x)$ with respect to the parameter $t$. Each function of the class is defined by a certain pair of two square matrices of order two.
Okamura, Kazuki
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Conditional Equations Related to Drygas Functional Equations

Annales Mathematicae Silesianae
We determine the solutions of the conditional Drygas equation for functions f1 and f2 that satisfy (y2 + y)f1(x) = (x2 + x)f2(y) for all (x, y) ∈ ℝ2 under the additional conditions y = x2, or y = log(x), x > 0 or y = exp(x).
Izadi Sadegh, Jahedi Sedigheh, Dehghanian Mehdi   +2 more
doaj   +1 more source

Inhomogeneous refinement equations with random affine maps

, 2015
Given a probability space $(\Omega,{\mathcal A},P)$, random variables $L,M\colon\Omega\to\mathbb R$ and $g\in L^1(\mathbb R)$ we obtain two characterizations of these $f\in L^1(\mathbb R)$ which are solutions of the inhomogeneous refinement equation with
Kapica, Rafał, Morawiec, Janusz
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Steklov Type Operators and Functional Equations

Annales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela, Popa Dorian, Raşa Ioan   +2 more
doaj   +1 more source

Speed of Light or Composition of Velocities

Annales Mathematicae Silesianae
We analyze in our paper questions of the theory of relativity. We approach this theory from the point of view of velocities and their composition. This is where the functional equations appear.
Sablik Maciej
doaj   +1 more source

On Functions with Monotonic Differences

Annales Mathematicae Silesianae
Motivated by the Szostok problem on functions with monotonic differences (2005, 2007), we consider a-Wright convex functions as a generalization of Wright convex functions.
Rajba Teresa
doaj   +1 more source

A qualitative description of graphs of discontinuous polynomial functions [PDF]

, 2014
We prove that, if f:R^n\to R satisfies Fr\'echet's functional equation and f(x_1,...,x_n) is not an ordinary algebraic polynomial in the variables x_1,...,x_n, then f is unbounded on all non-empty open set U of R^n.
Abstract We Prove That, F. Abu-helaiel, J. M. Almira, Kh   +3 more
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The stability of functional equation min{f(x + y), f(x - y)} = |f(x) - f(y)|

, 2011
In this paper, we prove the stability of the functional equation min {f(x + y), f(x - y)} = |f(x) - f(y)| in the class of real, continuous functions of real variable.MSC2010: 39B82 ...
B. Przebieracz
semanticscholar   +1 more source

The stability of functional equation min{f(x + y), f(x - y)} = |f(x) - f(y)|

Journal of Inequalities and Applications, 2011
In this paper, we prove the stability of the functional equation min {f(x + y), f(x - y)} = |f(x) - f(y)| in the class of real, continuous functions of real variable.
Przebieracz Barbara
doaj  

Stability of the Volterra Integrodifferential Equation [PDF]

, 2013
In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space ...
Janfada, Mohammad, Sadeghi, Gh.
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