APPROXIMATION OF MIXED TYPE FUNCTIONAL EQUATIONS IN pBANACH SPACES

ZOLFAGHARI, S.¹

¹ Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran

Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 2, p. 110-122.

Résumé

In this paper, we investigate the generalized Hyers-Ulam stability of the functional equation

$\sum^n _{i=1} f(x_i - \frac{1}{ n} \sum^n _{j=1} x_j) = \sum^n _{i=1} f(x_i) - nf( \frac{1}{ n} \sum^n_{ i=1} x_i)\quad (n \geq 2)$

in p-Banach spaces.

Détail

DOI : 10.22436/jnsa.003.02.04

Classification : 39B82, 44B52
Keywords: Generalized Hyers-Ulam stability, Additive and Quadratic function, p-Banach spaces.

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