Geometrical Elucidations and Approximation of some Functional Equations in Numerous Variables

Hemen Dutta; B.V. Senthil Kumar

doi:10.16943/ptinsa/2019/49584

Hemen Dutta Gauhati University
B.V. Senthil Kumar C. Abdul Hakeem College of Engineering and Technology, Tamil Nadu, India

DOI: https://doi.org/10.16943/ptinsa/2019/49584

Keywords: Reciprocal-quadratic function, generalized Ulam-Hyers stability, quasi-beta-normed space.

Abstract

The objective of this paper is to introduce a reciprocal-quadratic difference functional equation and a reciprocal-quadratic adjoint functional equation in copious variables with their geometrical interpretations in Physics and to determine their fundamental stabilities connected with Ulam stability theory in quasi-beta-normed spaces.

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