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Hyers-Ulam stability of k-Fibonacci functional equation
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نویسنده
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Bidkham Mahmoud ,Hosseini Maryam
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منبع
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international journal of nonlinear analysis and applications - 2011 - دوره : 2 - شماره : 1 - صفحه:42 -49
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چکیده
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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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کلیدواژه
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stability ,Fibonacci functional equation
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آدرس
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Authors
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