On a functional equation of Hosszú type.
Daróczy, Zoltán (1999)
Mathematica Pannonica
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Daróczy, Zoltán (1999)
Mathematica Pannonica
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Palaniappan Kannappan (1995)
Mathware and Soft Computing
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Among normal linear spaces, the inner product spaces (i.p.s.) are particularly interesting. Many characterizations of i.p.s. among linear spaces are known using various functional equations. Three functional equations characterizations of i.p.s. are based on the Frchet condition, the Jordan and von Neumann identity and the Ptolemaic inequality respectively. The object of this paper is to solve generalizations of these functional equations.
István Fenyö, Gian Luigi Forti (1981)
Stochastica
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In this note we solve the inhomogeneous Cauchy functional equation f(x+y) - f(x) - f(y) = d(x,y), x,y belonging to R, in the case where d is bounded.
Kannappan, Pl., Sahoo, P.K. (1998)
International Journal of Mathematics and Mathematical Sciences
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László Losonczi (1997)
Aequationes mathematicae
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L. Sweet (1981)
Aequationes mathematicae
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N. G. de Bruijn (1966)
Colloquium Mathematicae
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C.-S. Lin, Y.J. Cho (1997)
Publications de l'Institut Mathématique
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A. Alexiewicz (1948)
Colloquium Mathematicae
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T.D. Howroyd (1970)
Aequationes mathematicae
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H. Światak (1970)
Annales Polonici Mathematici
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K. Urbanik (1957)
Colloquium Mathematicum
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Ferreira, A.V. (1967)
Portugaliae mathematica
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