Mathematica Eterna

Mathematica Eterna
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ISSN: 1314-3344

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ORTHOGONAL STABILITY OF A MIXED TYPE ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION

K.RAVI,JOHN MICHAEL RASSIAS,R.MURALI

In this paper, the authors investigate the orthogonal stability of a mixed type additive and quadratic functional equation of the form f(x+2y)+f(x−2y)+4f(x) = 3[f(x+y)+f(x−y)]+f(2y)−2f(y) (0.1) with x ⊥ y, where ⊥ is orthogonality in the sense of R¨atz.

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