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This article is cited in 2 scientific papers (total 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.
Received: 31.05.2020 Revised: 09.06.2020 Accepted: 02.07.2020
Citation:
G. A. Anastassiou, “E. R. Love type left fractional integral inequalities”, Probl. Anal. Issues Anal., 9(27):3 (2020), 14–30
Linking options:
https://www.mathnet.ru/eng/pa304 https://www.mathnet.ru/eng/pa/v27/i3/p14
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Abstract page: | 93 | Full-text PDF : | 48 | References: | 21 |
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