In this study, we provide some new Chebyshev type integral inequalities by using fractional integral operators for two synchronous functions on [0, ∞), which means that they are having the same sense of variation on [0, ∞).
References
1.
P. L.
Čebyšev
, Proceeding Mathematical Society of Charkov
2
, 93
–98
(1882
).2.
S.
Belarbi
and Z.
Dahmani
, Journal of Inequalities in Pure and Applied Mathematics
10
(3
), p. 5
(2009
).3.
K.
Boukerrioua
and A.
Lakoud
, Journal of Inequalities in Pure and Applied Mathematics
8
(2
), p. 5
(2007
).4.
A. G.
Lakoud
and F.
Aissaouinew
, Journal of Mathematical Inequalities
5
(4
), 453
–462
(2011
).5.
W. T.
Sulaiman
, Journal of Mathematical Analysis
2
(2
), 23
–28
(2011
).6.
S. M.
Malamud
, Proceedings of the American Mathematical Society
129
(9
), 2671
–2678
(2001
).7.
M.-J. L. R. P.
Agarwal
and R. K.
Raina
, Fasciculi Mathematici
204
(2016
).8.
B. G.
Pachpatte
, Journal of Inequalities in Pure and Applied Mathematics
7
(1
) (2006
).9.
J. E.
Pecaric
, Bul. Sti. Tehn. Inst. Politehn “Tralan Vuia” Timişora(Romania)
25
(39
)(1), 5
–9
(1980
).10.
H. Y. M. Z.
Sarikaya
, N.
Aktan
, Journal of Mathematical Inequalities
2
(2
), 185
–195
(2008
).11.
J.
Choi
and P.
Agarwal
, East Asian Mathematical Journal
30
, p. 283
–291
(2014
).12.
R. K.
Raina
, East Asian Math. J.
21
(2
), 191
–203
(2005
).13.
A. A.
Kilbas
, H. M.
Srivastava
, and J. J.
Trujillo
, Vol. 204
(Elsevier Science Inc.
, New York, NY, USA
, 2006
).
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