Autor:	IDIR, SADANI
Předmět:	FUNCTIONAL equations GENERALIZATION BANACH spaces MATHEMATICAL formulas MATHEMATICAL models
Zdroj:	Balkan Journal of Applied Mathematics & Informatics; 2022, Vol. 5 Issue 1, p93-100, 8p
Abstrakt:	The aim of this paper is to obtain the general solution of the following new reciprocal type functional equation 1/f(x + u, y + v) = 1/2f(2x + y, 2u + v) + 1/2f(y, v) and investigate its generalized Hyers-Ulam stability in Banach spaces using the direct method. We also show Hyers-Ulam-Rassias stability, Ulam-Găvruta-Rassias stability and J. M. Rassias stability controlled by the mixed product-sum of powers of norms for the same equation. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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