INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

• Published in: TWMS journal of applied and engineering mathematics Vol. 9; no. 1 SI; p. 91
• Main Authors: Gurbuz, M, Ozturk, O
• Format: Journal Article
• Language: English
• Published: Istanbul Turkic World Mathematical Society 01.01.2019; Elman Hasanoglu
• Subjects: Convex functions; Equality; Game theory; Inequalities; Inequalities (Mathematics); Integrals; Mathematical research; Operators (mathematics); Scientists; Transformations (Mathematics)

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 inequaliti...