Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces

K. Tamilvanan; Jung Rye Lee; Choonkil Park; K. Tamilvanan; Jung Rye Lee; Choonkil Park

doi:10.3934/math.2020383

AIMS Mathematics

2020, Volume 5, Issue 6: 5993-6005. doi: 10.3934/math.2020383

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Research article

Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces

1.
Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
2.
Department of Mathematics, Daejin University, Kyunggi 11159, Korea
3.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Received: 14 April 2020 Accepted: 10 July 2020 Published: 22 July 2020
MSC : 39B52, 39B72, 39B82

In this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions and obtain the general solution of the functional equation and investigate the Hyers-Ulam stability for the functional equation in quasi-Banach spaces.
- additive functional equation,
- quadratic functional equation,
- Hyers-Ulam stability,
- quasi-Banach space,
- p-Banach space
Citation: K. Tamilvanan, Jung Rye Lee, Choonkil Park. Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces[J]. AIMS Mathematics, 2020, 5(6): 5993-6005. doi: 10.3934/math.2020383

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Abstract

In this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions and obtain the general solution of the functional equation and investigate the Hyers-Ulam stability for the functional equation in quasi-Banach spaces.

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