Orthogonal Modular Stability of Radical Cubic Functional Equation

R. Murali¹ , P. Divyakumari²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.237-240, Feb-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.237240

Online published on Feb 28, 2019

Copyright © R. Murali, P. Divyakumari . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

299 Views    167 Downloads    114 Downloads

Abstract :
In this paper, authors newly introduce radical cubic type functional equation and obtain its general solution. Also, investigate the Hyers-Ulam-Rassias stability of introduced radical cubic type functional equation in modular space.

Key-Words / Index Term :
Modular space, orthogonality, cubic functional equation, generalized Hyers-Ulam-Rassias stability

References :
[1] T. Aoki, On the stability of the linear transformation in Banach
spaces, J. Math. Soc.Japan, Vol 2, pp 64-66, 1950.
[2] P.Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl., Vol 184, pp 431-436, 1994.
[3] D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci., Vol 27, pp 222-224, 1941.
[4] Iz-iddine El-Fassi and Samir Kabbaj, On the generalized orthogonal stability of mixed type additive-cubic functional equations in modular spaces, Tbilisi Mathematical Journal, Vol 9, Issue 1, pp 231-243, 2016.
[5] Hark-Mahn Kim and Young Soon Hong, Approximate Quadratic Mappings in Modular Spaces, International Journal of Pure and Applied Mathematics, Vol 116, Issue 1, pp 31-43, 2017.
[6] J.M. Rassias, On approximately of approximately linear mappings by linear mappings, J. Funct. Anal. USA, Vol 46, pp 126-130, 1982.
[7] K.Ravi, M. Arunkumar and J.M. Rassias, On the Ulam stability for the orthogonally general Euler-Lagrange type functional equation, International Journal of Mathematical Sciences, Vol 3, Issue 08, pp 36 – 47, Autumn 2008.
[8] Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math.Soc.,Vol 72, pp 297-300, 1978.
[9] Wanchitra Towanlong and Paisan Nakmahachalasint, A quadratic functional equation and its generalized Hyers-Ulam Rassias stability, Thai Journal of Mathematics, special Issue (Annual Meeting in Mathematics, 2008), pp 85-91.
[10] S.M. Ulam, A collection of the mathematical problems, Interscience Publ., New York, 1960.
[11] Kittipong Wongkum, Poom Kumam, Yeol Je Cho, Phatiphat Thounthong, Parin Chaipunya, On the generalized Ulam-Hyers-Rassias stability for quartic functional equation in modular spaces, J. Nonlinear Sci. Appl., 10(2017), 1399-1406.