IJPAM: Volume 104, No. 2 (2015)

ON THE STABILITY OF TRIBONACCI AND
$k$-TRIBONACCI FUNCTIONAL EQUATIONS
IN MODULAR SPACE

Roji Lather$^1$, Ashish$^2$, Manoj Kumar$^3$
$^{1,3}$Department of Mathematics
Maharshi Dayanand University
Rohtak, 124001, INDIA
$^2$Central University of Haryana
Jant-Pali, Mahendergarh, INDIA


Abstract. The purpose of this paper is to establish the Hyers-Ulam stability of the following Tribonacci and $k$-Tribonacci functional equations
\begin{align*} f(x) &= f(x-1) + f(x-2) + f(x-3),\\ f(k, x) &= k f(k, x-1) + f(k, x-2) + f(k, x-3) \end{align*}
in modular space.

Received: August 8, 2015

AMS Subject Classification: 39B82, 39B52, 39B72

Key Words and Phrases: Hyers-Ulam stability, modular space, Tribonacci functional equation, $k$-Tribonacci functional equation

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DOI: 10.12732/ijpam.v104i2.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 104
Issue: 2
Pages: 265 -


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