## Rocky Mountain Journal of Mathematics

### Jensen type inequalities and their applications via fractional integrals

#### Abstract

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.

#### Article information

Source
Rocky Mountain J. Math., Volume 48, Number 8 (2018), 2459-2488.

Dates
First available in Project Euclid: 30 December 2018

https://projecteuclid.org/euclid.rmjm/1546138817

Digital Object Identifier
doi:10.1216/RMJ-2018-48-8-2459

Mathematical Reviews number (MathSciNet)
MR3894989

Zentralblatt MATH identifier
06999270

#### Citation

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

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