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Some new fractional q-integral Grüss-type inequalities and other inequalities
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Abstract
In this paper, we employ a fractional q-integral on the specific time scale,
T
t
0
=
{
t
:
t
=
t
0
q
n
,
n
a nonnegative integer
}
∪
{
0
}
, where
t
0
∈
R
and
0
<
q
<
1
, to establish some new fractional q-integral Grüss-type inequalities by using one or two fractional parameters. Furthermore, other fractional q-integral inequalities are also obtained.
MSC:26D10, 26A33.
Springer Science and Business Media LLC
Title: Some new fractional q-integral Grüss-type inequalities and other inequalities
Description:
Abstract
In this paper, we employ a fractional q-integral on the specific time scale,
T
t
0
=
{
t
:
t
=
t
0
q
n
,
n
a nonnegative integer
}
∪
{
0
}
, where
t
0
∈
R
and
0
<
q
<
1
, to establish some new fractional q-integral Grüss-type inequalities by using one or two fractional parameters.
Furthermore, other fractional q-integral inequalities are also obtained.
MSC:26D10, 26A33.
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