Rocky Mountain Journal of Mathematics
- Rocky Mountain J. Math.
- Volume 48, Number 8 (2018), 2459-2488.
Jensen type inequalities and their applications via fractional integrals
The present paper is devoted to the study of Jensen type inequalities for fractional integration on finite subintervals of the real axis. The complete form of Jensen's inequality and the generalized Jensen's inequality are investigated by using the Chebyshev inequality. As applications, some new integral inequalities, including Holder's and Minkowski's inequalities, are obtained by using Jensen's inequality via Riemann-Liouville fractional integrals.
Rocky Mountain J. Math., Volume 48, Number 8 (2018), 2459-2488.
First available in Project Euclid: 30 December 2018
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Abbaszadeh, Sadegh; Ebadian, Ali; Jaddi, Mohsen. Jensen type inequalities and their applications via fractional integrals. Rocky Mountain J. Math. 48 (2018), no. 8, 2459--2488. doi:10.1216/RMJ-2018-48-8-2459. https://projecteuclid.org/euclid.rmjm/1546138817