Paranormed Hyers-Ulam-Rassias Stability of Quartic Functional Equation


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Authors

  • Shalini Tomar Kanya Mahavidyalaya, Kharkhoda, Sonepat, Haryana, India

Keywords:

Generalised Hyers - Ulam - Rassias stability, paranormed Space, Quartic Functional Equation

Abstract

The goal of this paper is to study the Generalized Hyers - Ulam - Rassias (HUR) stability of quartic functional equation (QFE)
$f_q(kr_1+(k-1)r_2)+f_q(kr_1-(k-1)r_2)= 2k^4f_q(r_1)+ 2(k-1)^4 f_q(r_2)
\ +$ $6k^2(k-1)^2[f_q(r_1+r_2) + f_q(r_1-r_2)]-12k^2(k-1)^2[f_q(r_1)+f_q(r_2)]$ in Paranormed Spaces (P. Spaces) using direct method.

Author Biography

Shalini Tomar, Kanya Mahavidyalaya, Kharkhoda, Sonepat, Haryana, India

 

 

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Published

30-05-2023

How to Cite

Tomar, S. (2023). Paranormed Hyers-Ulam-Rassias Stability of Quartic Functional Equation. International Journal of Mathematics And Its Applications, 11(2), 119–124. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1116

Issue

Vol. 11 No. 2 (2023)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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