This article is cited in 2 papers

E. R. Love type left fractional integral inequalities

G. A. Anastassiou

Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

Abstract: Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities. We apply these to ordinary and left fractional integral inequalities. The last involve ordinary derivatives, left Riemann–Liouville fractional integrals, left Caputo fractional derivatives, and left generalized fractional derivatives. These inequalities are of Opial type.

Keywords: Minkowski integral inequality, Opial inequality, Riemann–Liouville fractional integral, fractional derivatives.

UDC: 517.51

MSC: 26A33, 26D10, 26D15

Received: 31.05.2020
Revised: 09.06.2020
Accepted: 02.07.2020

Language: English

DOI: 10.15393/j3.art.2020.8730

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