Fractional Landau Inequalities of Riemann–Liouville Type

Abstract

We present uniform Riemann–Liouville left and right fractional Landau inequalities over R+ and R-, respectively, of fractional orders 1 < ν< 2 and 2 < ν< 3 and we estimate lower order fractional derivatives. These inequalities are sharp or nearly sharp with completely determined constants. We give applications when ν= 1.5. We finish with a related new Ostrowski like inequality for ν> 0, ν∉ N. It follows [1].

Publication Title

Studies in Systems, Decision and Control

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