Inequalities generated with Riemann-Liouville fractional integral operator
Künye
Gürbüz, M. & Öztürk, O. (2019). Inequalities generated with Riemann-Liouville fractional integral operator. TWMS Journal Of Applied And Engineering Mathematics, 9(1), 91-100.Özet
The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional integral operator. In order to do this, a new fractional integral identity is obtained. Then by using this identity, some inequalities for the class of functions whose derivatives in absolute values at certain powers are convex are derived. It is observed that the obtained inequalities are generalizations of some results exist in the literature.
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
9Sayı
1SI
Bağlantı
http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2696http://jaem.isikun.edu.tr/web/index.php/archive/100-vol9no1/382
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