The solution of a system of quadratic functional equations
J. A. Lester (1980)
Annales Polonici Mathematici
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J. A. Lester (1980)
Annales Polonici Mathematici
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J. A. Lester (1976)
Colloquium Mathematicae
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Pavla Vrbová (1973)
Časopis pro pěstování matematiky
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Gordji, M.Eshaghi (2009)
The Journal of Nonlinear Sciences and its Applications
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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.
M. A. McKiernan (1976)
Colloquium Mathematicae
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John Michael Rassias (2004)
Archivum Mathematicum
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In 1940 S. M. Ulam (Intersci. Publ., Inc., New York 1960) imposed at the University of Wisconsin the problem: “Give conditions in order for a linear mapping near an approximately linear mapping to exist”. According to P. M. Gruber (Trans. Amer. Math. Soc. 245 (1978), 263–277) the afore-mentioned problem of S. M. Ulam belongs to the following general problem or Ulam type problem: “Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate...
András Sárközy (2012)
Acta Arithmetica
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