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Almost
Generalized
Quadratic
Functions of
Three Variables
in Lipschitz
Spaces
Ismail Nikoufar
Department of
Mathematics,
Payame Noor
University,
Tehran, Iran
Email address:
nikoufar@pnu.ac.ir
Doi :
https://doi.org/10.47013/15.4.17
Cited by :
Jordan J. Math &
Stat.,
15 (4B) (2022),
1049 - 1063
PDF
Received on:
Sept. 6,
2021;
Accepted
on: April 28,
2022
Abstract. The notion
of stability of
functional
equations was
posed by Ulam,
and then, Hyers
gave the first
significant
partial
solution. This
type of
stability has
been established
and developed by
an increasing
number of
mathematicians
in various
spaces. In
Lipschitz
spaces, the
notion of
stability was
introduced by
Tabor and
Czerwik. This
notion has been
considered less
attention over
the recent years
in Lipschitz
spaces. In this
paper, we
consider this
type of
stability and we
prove the
stability of the
generalized
quadratic
functional
equations of
three variables
in Lipschitz
spaces. We
generalize the
stability of a
quadratic
functional
equation from a
special case to
a general case
and improve its
approximation
announced by
Czerwik et al.
in [4].
Keywords: Stability,
Lipschitz space,
Quadratic
functional
equation.
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