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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.
 

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IEEE Style Citation: R. Murali, P. Divyakumari, “Orthogonal Modular Stability of Radical Cubic Functional Equation,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.1, pp.237-240, 2019.

MLA Style Citation: R. Murali, P. Divyakumari "Orthogonal Modular Stability of Radical Cubic Functional Equation." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.1 (2019): 237-240.

APA Style Citation: R. Murali, P. Divyakumari, (2019). Orthogonal Modular Stability of Radical Cubic Functional Equation. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(1), 237-240.

BibTex Style Citation:
@article{Murali_2019,
author = {R. Murali, P. Divyakumari},
title = {Orthogonal Modular Stability of Radical Cubic Functional Equation},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2019},
volume = {6},
Issue = {1},
month = {2},
year = {2019},
issn = {2347-2693},
pages = {237-240},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1167},
doi = {https://doi.org/10.26438/ijcse/v6i1.237240}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i1.237240}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1167
TI - Orthogonal Modular Stability of Radical Cubic Functional Equation
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - R. Murali, P. Divyakumari
PY - 2019
DA - 2019/02/28
PB - IJCSE, Indore, INDIA
SP - 237-240
IS - 1
VL - 6
SN - 2347-2693
ER -

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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
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[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.

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