Results 311 to 320 of about 9,324,703 (377)
Some of the next articles are maybe not open access.
On Fréchet’s functional equation
Monatshefte für Mathematik, 2013The paper is devoted to the basic theorem on polynomials, originally proved by \textit{D. Ž. Đoković} [Ann. Pol. Math. 22, 189--198 (1969; Zbl 0187.39903)], which states that a function \(f: G\to\mathbb{C}\), defined on an abelian group \(G\), is a generalized polynomial of degree at most \(n\), i.e., satisfies Fréchet's equation \[ \Delta_{y_1,y_2 ...
L. Székelyhidi
openaire +3 more sources
Fuzzy stability of a rational functional equation and its relevance to system design
International Journal of General Systems, 2018This study demonstrates the solution and various stabilities of a rational functional equation involving two variables by means of fixed point tactic in the vicinity of Felbin's type fuzzy normed spaces.
B. V. S. Kumar, H. Dutta
semanticscholar +1 more source
Functional Equations and Distribution Functions
Results in Mathematics, 1994Let \(a \in (0,1)\), \(N \in \mathbb{N} \backslash \{1\}\) and \(- 1 = \beta_0 \leq \beta_1 \leq \dots \leq \beta_{N - 1} = 1\). Then the functional equation \[ f(x) = {1 \over N} \sum^{N - 1}_{k = 0} f \left( {x - \beta_k \over a} \right) \] has a unique bounded solution \(f : \mathbb{R} \to \mathbb{R}\) vanishing on \((- \infty, -1/(1 - a))\) and ...
Borwein, Jonathan M., Girgensohn, Roland
openaire +1 more source
Mathematics of the USSR-Izvestiya, 1978
Necessary and sufficient conditions are found for the existence and uniqueness of local solutions of multidimensional linear functional equations of the form . Sufficient conditions for local solvability are also obtained for equations with variable coefficients.Bibliography: 5 titles.
openaire +1 more source
Necessary and sufficient conditions are found for the existence and uniqueness of local solutions of multidimensional linear functional equations of the form . Sufficient conditions for local solvability are also obtained for equations with variable coefficients.Bibliography: 5 titles.
openaire +1 more source
On Wilson’s functional equations
Aequationes mathematicae, 2014This paper concerns mainly a variant of Wilson's functional equation. It is shown that the solutions can be expressed in terms of characters, additive functions and matrix-elements of irreducible 2-dimensional representations of the underlying group. So the theory is part of the harmonic analysis on groups.
Ebanks, Bruce, Stetkaer, Henrik
openaire +3 more sources
2002
Abstract It sometimes happens that theories in psychology or other empirical sciences are formalized by equations involving unknown functions. For instance, the theorist may be reluctant to make specific assumptions regarding the form of the functions involved in a mathematical model.
openaire +1 more source
Abstract It sometimes happens that theories in psychology or other empirical sciences are formalized by equations involving unknown functions. For instance, the theorist may be reluctant to make specific assumptions regarding the form of the functions involved in a mathematical model.
openaire +1 more source
Functions and Functional Equations
2015The 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 +1 more source
JP Journal of Algebra Number Theory and Applications, 2020
D. Villa-Hernández
semanticscholar +1 more source
D. Villa-Hernández
semanticscholar +1 more source