In this study, some Grüss type inequalities for generalized fractional integrals are presented. Also, the results presented here would provide extensions of those given in earlier works.

1.
V L.
Chinchane
and
D.B.
Pachpatte
,
On some new Grüss-Type inequality using Hadamard fractional integral operator
,
J. of Fractional Calculus and Appl.
, Vol.
5(3S)
No.
12
, pp.
1
10
.
2.
Z.
Dahmani
,
L.
Tabharit
and
S.
Taf
,
New generalisation of Gruss inequality using Riemann-Liouville fractional integrals
,
Bull. Math. Anal. Appl.
2
(
3
)(
2012
),
92
99
.
3.
S. S.
Dragomir
,
Some integral inequalities of Grüss type
,
Indian J. Pure Appl. Math.
,
31
(
4
),
397
415
, April
2000
.
4.
G.
Grüss
, Über das maximum des absoluten Betrages von 1baabf(x)g(x)dx1(ba)2abf(x)dxabg(x)dx, Math. 
39
,
215
226
,
1935
.
5.
S. L.
Kalla
,
A.
Rao
,
On Grüss type inequality for a hypergeometric fractional integral
,
Le Mathematiche
,
LXVI
(
2011
) – Fasc. I, pp.
57
64
, doi:.
6.
D. S.
Mitrinovic
,
J. E.
Pecaric
and
A. M.
Fink
,
Inequalities involving functions and their integrals and derivatives
,
Kluwer Academic Publishers
,
Dordrecht
,
1991
.
7.
B. G.
Pachpatte
,
On Čebyšev-Grüss type inequalities via Pecaric’s extention of the Montgomery identity
,
J. Inequal. Pure and Appl. Math.
7
(
1
), Art 108,
2006
.
8.
J. E.
Pecaric
and
B.
Tebes
,
On Grüss type inequalities Dragomir and Fedotov
,
J. Inequal. Pure and Appl. Math.
4
(
5
), Art 91,
2003
.
9.
M. Z.
Sarikaya
,
N.
Aktan
,
H.
Yıldırım
,
Weighted Čebyšev-Grüss type inequalities on time scales
,
J. Math. Inequal.
2
,
2
(
2008
),
185
195
.
10.
M. Z.
Sarikaya
,
A Note on Grüss type inequalities on time scales
,
Dynamic Systems and Applications
,
17
(
2008
),
663
666
.
11.
M. Z.
Sarikaya
and
M. E.
Kiris
,
On Čebysev-Grüss type inequalities for double integrals
,
TJMM
,
7
(
2015
), No.
1
,
75
83
.
12.
J.
Tariboon
,
S. K.
Ntouyas
, and
W.
Sudsutad
,
Some new Riemann-Liouville fractional integral inequalities
,
Int. J. of Math. and Math. Sci.
, Volume
2014
, Article ID 869434,
6
pages.
13.
G.
Wang
,
P.
Agarwal
and
M.
Chand
,
Certain Grüss type inequalities involving the generalized fractional integral operator
,
J. of Ineq. and Appl.
2014
,
2014
:
147
.
14.
C.
Zhu
,
W.
Yang
and
Q.
Zhao
,
Some new fractional q-integral Grüss-type inequalities and other inequalities
,
J. of Ineq. and Appl.
2012
,
2012
:
299
.
This content is only available via PDF.
You do not currently have access to this content.