On the stability of the pexiderized trigonometric functional equation

The aim of this paper is to investigate the superstability problem of the cosine(d’Alembert), the Wilson, and the sine functional equation from the pexiderized trigonometric functional equation ( T gh ) under the condition: | f ( x + y ) - f ( x - y ) - 2 g ( x ) h ( y ) | ⩽ φ ( x ) or φ ( y ) , and...

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Bibliographic Details
Published in:Applied mathematics and computation 2008-09, Vol.203 (1), p.99-105
Main Author: Kim, Gwang Hui
Format: Article
Language:English
Subjects:
Difference and functional equations, recurrence relations
d’Alembert equation
Exact sciences and technology
Finite differences and functional equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Sine functional equation
Stability
Superstability
Trigonometric functional equation
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Summary:The aim of this paper is to investigate the superstability problem of the cosine(d’Alembert), the Wilson, and the sine functional equation from the pexiderized trigonometric functional equation ( T gh ) under the condition: | f ( x + y ) - f ( x - y ) - 2 g ( x ) h ( y ) | ⩽ φ ( x ) or φ ( y ) , and also will investigated the stability of the Jensen type functional equation ( J y ) under the condition: | f ( x + y ) - f ( x - y ) - 2 f ( y ) | ⩽ φ ( x , y ) .
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2008.04.011