INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

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...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 1 SI; p. 91
Main Authors Gurbuz, M, Ozturk, O
Format Journal Article
LanguageEnglish
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)
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2146-1147
2146-1147