APPROXIMATION OF MIXED TYPE FUNCTIONAL EQUATIONS IN pBANACH SPACES
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Authors
S. ZOLFAGHARI
- Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
Abstract
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.
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ISRP Style
S. ZOLFAGHARI, APPROXIMATION OF MIXED TYPE FUNCTIONAL EQUATIONS IN pBANACH SPACES, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 2, 110-122
AMA Style
ZOLFAGHARI S., APPROXIMATION OF MIXED TYPE FUNCTIONAL EQUATIONS IN pBANACH SPACES. J. Nonlinear Sci. Appl. (2010); 3(2):110-122
Chicago/Turabian Style
ZOLFAGHARI, S.. " APPROXIMATION OF MIXED TYPE FUNCTIONAL EQUATIONS IN pBANACH SPACES." Journal of Nonlinear Sciences and Applications, 3, no. 2 (2010): 110-122
Keywords
- Generalized Hyers-Ulam stability
- Additive and Quadratic function
- p-Banach spaces.
MSC
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