Results 281 to 290 of about 8,284,364 (333)

Functions and Functional Equations

2015
The concept of function is one of the most important in mathematics. A function is a relation between elements of two sets X and Y , which we denote by f : X → Y , that satisfies.
Radmila Bulajich Manfrino   +2 more
openaire   +2 more sources

A Functional Equation

SIAM Review, 1971
Existence theorems for and the determination of continuous solutions, defined on the real axis R, of the functional equationf (t)=A[t,f (at−b),f (at−c)], wherea, b, and c are real parameters, A:R×E×E → E is a continuous operator, and E is a Banach space.
openaire   +4 more sources

Fixed points and stability of nonic functional equation in quasi-β-normed spaces

, 2015
In this paper we present the general solution of a nonic functional equation and prove the stability of nonic functional equation in quasi- β- normed spaces by applying the fixed point method.
J. Rassias, M. Eslamian
semanticscholar   +1 more source

On Functions and Functional Equations

2020
FUNCTIONS Elementary properties of functions Continuous functions Derivatives of a function FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES Introduction The Cauchy functional equation and related equations Other important types of equations Applications of functional equations in several variables Discontinuous solution of the Cauchy functional equation ...
openaire   +2 more sources

Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation

, 2014
The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
N. Bingham, A. Ostaszewski
semanticscholar   +1 more source

On the Robustness of Functional Equations

SIAM Journal on Computing, 1999
In this paper, we study the general question of how characteristics of functional equations influence whether or not they are robust. We isolate examples of properties which are necessary for the functional equations to be robust. On the other hand, we show other properties which are sufficient for robustness.
openaire   +3 more sources

On Wilson’s functional equations

Aequationes mathematicae, 2014
We find on a group G the solutions \({f, g:G \to \mathbb{C}}\) of the functional equation \({f(xy) + f(y^{-1}x) = 2f(x)g(y), x, y \in G}\), in terms of characters, additive maps and matrix-elements of irreducible, 2-dimensional representations of G.
Ebanks, Bruce, Stetkaer, Henrik
openaire   +3 more sources

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