Results 31 to 40 of about 323 (78)

On Popoviciu-Ionescu functional equation

, 2016
We study a functional equation first proposed by T. Popoviciu in 1955. It was solved for the easiest case by Ionescu in 1956 and, for the general case, by Ghiorcoiasiu and Roscau, and Rad\'o in 1962.
Almira, J. M.
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Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]

, 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 ...
Bingham, N. H., Ostaszewski, A. J.
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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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Derivation Pairs on Rings and RNGs

Annales Mathematicae Silesianae
We generalize a classical result about derivation pairs on function algebras. Specifically, we describe the forms of derivation pairs on rings and rngs (non-unital rings) which are not assumed to be commutative.
Ebanks Bruce
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On a Generalized Conjecture by Alzer and Matkowski

Annales Mathematicae Silesianae
We study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The original conjecture was affirmatively resolved by Tomasz Małolepszy.
Fechner Włodzimierz, Pierzchałka Marta, Smejda Gabriela   +2 more
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On derivations with respect to finite sets of smooth functions

, 2017
The purpose of this paper is to show that functions that derivate the two-variable product function and one of the exponential, trigonometric or hyperbolic functions are also standard derivations. The more general problem considered is to describe finite
Grünwald, Richárd, Páles, Zsolt
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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
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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
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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
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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
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