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INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
2019
Journal:  
TWMS Journal of Applied and Engineering Mathematics
Author:  
Abstract:

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.

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TWMS Journal of Applied and Engineering Mathematics

Journal Type :   Ulusal

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TWMS Journal of Applied and Engineering Mathematics