Inequalities of trapezoidal type involving generalized fractional integrals
Date
2020
Authors
Baleanu, Dumitru
Mohammed, Pshtiwan Othman
Zeng, Shengda
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Abstract
During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λφ–preinvex functions, which are differentiable and twice differentiable, are established. Then, by employing those results, we explore the new estimates on trapezoidal type inequalities for classical integral and Riemann–Liouville fractional integrals, respectively. Finally, we apply our new inequalities to construct inequalities involving moments of a continuous random variable. © 2020 Faculty of Engineering, Alexandria University
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Keywords
Generalized Fractional Integral, Integral Inequalities, Preinvex Function
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Citation
Baleanu, Dumitru; Mohammed, Pshtiwan Othman; Zeng, Shengda (2020). "Inequalities of trapezoidal type involving generalized fractional integrals", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 2975-2984.
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Source
Alexandria Engineering Journal
Volume
59
Issue
5
Start Page
2975
End Page
2984