Stability of general quadratic-cubic-quartic functional equation in quasi beta Banach space via two dissimilar methods

S. Pinelas; M. Arunkumar; N. Mahesh Kumar; E. Sathya

doi:10.26637/MJM0601/0015

Abstract

In this paper, authors proved the generalized Ulam - Hyers stability of mixed type general quartic - cubic -quartic functional equation
$$
f(x+m y)+f(x-m y)=m^2 f(x+y)+m^2 f(x-y)+2\left(1-m^2\right) f(x)+\frac{m^2\left(m^2-1\right)}{6}(f(2 y)+2 f(-y)-6 f(y))
$$
where $m \neq 0, \pm 1$ in Quasi beta Banach space via two dissimilar methods.

Keywords:

Quadratic, cubic, quartic functional equations, Generalized Ulam - Hyers stability, Quasi beta Banach space, fixed point

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S. Pinelas Academia Militar, Departamento de Ciias Exactas e Naturais, Av.Conde Castro Guimar, 2720-113 Amadora, Portugal. https://orcid.org/0000-0002-0984-0159
M. Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India.
N. Mahesh Kumar Department of Mathematics, Arunai Engineering College, Tiruvannamalai, TamilNadu, India - 606 603.
E. Sathya Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India.

Pages: 113-128
Date Published: 01-01-2018
Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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