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ON SOME PEXIDER-TYPE FUNCTIONAL EQUATIONS CONNECTED WITH THE ABSOLUTE VALUE OF ADDITIVE FUNCTIONS. PART II

Published online by Cambridge University Press:  04 January 2012

BARBARA PRZEBIERACZ
BARBARA PRZEBIERACZ*
Affiliation:
University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland (email: barbara.przebieracz@us.edu.pl)
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Abstract

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We investigate the Pexider-type functional equation where f, g, h are real functions defined on an abelian group G. We solve this equation under the assumptions G=ℝ and f is continuous.

Keywords

Pexider functional equationsCauchy equationsabsolute value of additive functions

MSC classification

Secondary: 39B22: Equations for real functions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 2 , April 2012 , pp. 202 - 216
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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