Abstract
The primary objective of this study is to present a novel form of generalised additive functional equation \(\phi\Big(\sum_{j=1}^{l}j v_{j}\Big)=\sum_{j=1}^{l}j \phi(v_{j}),\) where \(l\geq 2\) with each \(v_{i}\bot v_{j};~ i \neq j =1,2,\cdots,l,\) and derive its solution. Mainly, we examine the Hyers-Ulam-Rassias orthogonal stability of this equation by utilizing two different approaches.
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More From: International Journal of Analysis and Applications
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