Stability of an additive-quartic functional equation in modular spaces

Volume 26, Issue 1, pp 22--40
Publication Date: September 17, 2021 Submission Date: July 10, 2021 Revision Date: July 21, 2021 Accteptance Date: August 10, 2021
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Authors

S. Karthikeyan - Department of Mathematics , R.M.K. Engineering College, Kavaraipettai - 601 206, Tamil Nadu, India. C. Park - Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea. P. Palani - Department of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai- 636 902, Tamil Nadu, India. T. R. K. Kumar - Department of Mathematics, R.M.K. Engineering College, Kavaraipettai - 601 206, Tamil Nadu, India.

Abstract

In this paper, we prove the Ulam-Hyers stability of the following additive-quartic functional equation $f\left(\frac{u+v}{2}-w\right) +f\left(\frac{v+w}{2}-u\right)+f\left(\frac{w+u}{2}-v\right) =\frac{25}{32}\left(f(u-v)+f(v-w)+f(w-u)\right)-\frac{7}{32}\left(f(v-u)+f(w-v)+f(u-w)\right)$ in modular spaces by using the direct method.

Share and Cite

ISRP Style

S. Karthikeyan, C. Park, P. Palani, T. R. K. Kumar, Stability of an additive-quartic functional equation in modular spaces, Journal of Mathematics and Computer Science, 26 (2022), no. 1, 22--40

AMA Style

Karthikeyan S., Park C., Palani P., Kumar T. R. K., Stability of an additive-quartic functional equation in modular spaces. J Math Comput SCI-JM. (2022); 26(1):22--40

Chicago/Turabian Style

Karthikeyan, S., Park, C., Palani, P., Kumar, T. R. K.. "Stability of an additive-quartic functional equation in modular spaces." Journal of Mathematics and Computer Science, 26, no. 1 (2022): 22--40

Keywords

• Ulam-Hyers stability
• quartic functional equation
• modular space

•  39B52
•  39B72
•  39B82

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