Results 21 to 30 of about 360 (83)
Notes on stability of the generalized gamma functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 1, Page 57-63, 2002., 2002 The Hyers‐Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x + p) = a(x)g(x) under some conditions which involve convergence of complicated series. In this note, those conditions are simplified to be checked easily and more interesting examples other than the classical gamma functional equation ...
Gwang Hui Kim, Bing Xu, Weinian Zhang
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Axiomatizations of Lov\'asz extensions of pseudo-Boolean functions [PDF]
, 2011 Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by certain relaxations of the Cauchy functional equation in several variables ...
Aczél +11 more
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Stability of maximum preserving quadratic functional equation in Banach lattices
, 2016 We have posed a version of the Hyers-Ulam stability problem by substituting addition in the quadratic functional equation with the maximum operation, to be called maximum preserving functional equations.
N. Salehi, S. Modarres
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A Gauss type functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 9, Page 565-569, 2001., 2001 Gauss′ functional equation (used in the study of the arithmetic‐geometric mean) is generalized by replacing the arithmetic mean and the geometric mean by two arbitrary means.
Silvia Toader +2 more
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On extension of solutions of a simultaneous system of iterative functional equations [PDF]
, 2009 Some sufficient conditions which allow to extend every local solution of a simultaneous system of equations in a single variable of the form \[ \varphi(x) = h (x, \varphi[f_1(x)],\ldots,\varphi[f_m(x)]),\] \[\varphi(x) = H (x, \varphi[F_1(x)],\ldots ...
Janusz Matkowski
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A functional equation characterizing cubic polynomials and its stability
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 301-307, 2001., 2001 We study the generalized Hyers‐Ulam stability of the functional equation f[x1, x2, x3] = h(x1 + x2 + x3).
Soon-Mo Jung, Prasanna K. Sahoo
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On a Functional Differential Equation of Determinantal Type [PDF]
, 1998 We solve the functional equations |111f(x)f(y)f(z)f′(x)f′(y)f′(z) |=0, | 111f(x)g(y)h(z)f′(x)g′(y)h′(z) |=0, for suitable functions f, g and h subject to x + y + z = 0.
H. Braden, J. Byatt-Smith
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On solutions of the Gołąb‐Schinzel equation
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 541-546, 2001., 2001 We determine the solutions f : (0, ∞) → [0, ∞) of the functional equation f(x + f(x)y) = f(x)f(y) that are continuous at a point a > 0 such that f(a) > 0. This is a partial solution of a problem raised by Brzdęk.
Anna Mureńko
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EXTENSION THEOREMS FOR THE MATKOWSKI-SUTO PROBLEM
, 2000 is studied, where in a small subinterval of I. 1. History of the Problem In 1914 O. Suto published a paper of two parts in the Tohoku Mathematical Journal [11], in which he first examined the functional equation ( i .
Z. Daróczy, Gyula Maksa, Zsolt Páles
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On a functional equation related to a generalization of Flett′s mean value theorem
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 2, Page 103-107, 2000., 2000 In this paper, we characterize all the functions that attain their Flett mean value at a particular point between the endpoints of the interval under consideration. These functions turn out to be cubic polynomials and thus, we also characterize these.
T. Riedel, Maciej Sablik
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