Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1079.39019
Heuvers, Konrad J.; Kannappan, Palaniappan
A third logarithmic functional equation and Pexider generalizations. (English)
[J] Aequationes Math. 70, No. 1-2, 117-121 (2005). ISSN 0001-9054; ISSN 1420-8903/e

If $ f: ] 0, \infty [ \to R$ is a real valued function defined on the set of positive reals one may consider the three functional equations: (1) $ f(x+y) - f(xy) = f(1/x + 1/y)$, (2) $ f(x + y) - f(x) - f(y) = f(1/x, + 1/y )$, (3) $ f(xy ) = f(x) + f(y)$. The authors show that the three equations are equivalent. They determine also the general solution of the Pexider equation corresponding to (1) and they find the twice differentiable solutions of the Pexider equation corresponding to (2).
[Claudi Alsina (Barcelona)]

MSC 2000:: *39B22 Functional equations for real functions

Keywords: logarithmic functional equation; Pexider equations

Cited in: Zbl 1130.39018

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]