Hyers-Ulam stability of an alternative functional equation of Jensen type
نویسندگان
چکیده
منابع مشابه
Hyers-Ulam stability of K-Fibonacci functional equation
Let denote by Fk,n the nth k-Fibonacci number where Fk,n = kFk,n−1+Fk,n−2 for n 2 with initial conditions Fk,0 = 0, Fk,1 = 1, we may derive a functionalequation f(k, x) = kf(k, x − 1) + f(k, x − 2). In this paper, we solve thisequation and prove its Hyere-Ulam stability in the class of functions f : N×R ! X,where X is a real Banach space.
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In this paper, we prove the generalized Hyers-Ulam-Rassias stability for the Drygas functional equation$$f(x+y)+f(x-y)=2f(x)+f(y)+f(-y)$$ in Banach spaces by using the Brzc{d}ek's fixed point theorem. Moreover, we give a general result on the hyperstability of this equation. Our results are improvements and generalizations of the main result of M. Piszczek and J. Szczawi'{n}ska [21].
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ژورنال
عنوان ژورنال: ScienceAsia
سال: 2019
ISSN: 1513-1874
DOI: 10.2306/scienceasia1513-1874.2019.45.275