Local Fractional Inequalities

George A. Anastassiou ()
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George A. Anastassiou: University of Memphis, Department of Mathematical Sciences

A chapter in Frontiers in Functional Equations and Analytic Inequalities, 2019, pp 435-468 from Springer

Abstract: Abstract This research is about inequalities in a local fractional setting. The author presents the following types of analytic local fractional inequalities: Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, and Polya–Ostrowski. The results are with respect to uniform and L p norms, involving left and right Riemann–Liouville fractional derivatives. We derive also several interesting special cases.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-28950-8_23

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DOI: 10.1007/978-3-030-28950-8_23

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