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Category: Issue 8

An Orthogonal Stabilization of Quadratic and Generalized Quadratic Functional Equations

KIRAN YADAV
Department of Mathematics, Singhania University, Pacheri Bari, Jhunjhunu (Rajasthan), (India)
A. K. MALIK
Department of Mathematics B. K. Birla Institute of Engineering & Technology, Pilani (Rajasthan), (India)

ABSTRACT:

This study is devoted to the stabilization of following quadratic and modified quadratic functional equations in orthogonal space

h (3x pm y) = 16h(x) + h(x pm y) ,

and

h(x + ay) + h(x-ay) = 2a2 h(y) + 2h(x).

KEYWORDS: Orthogonal spaces, Quadratic , Modified functional equations


This study is devoted to the stabilization of following quadratic and modified quadratic functional equations in orthogonal space h (3x pm y) = 16h(x) + h(x pm y) ,...