Time Scales Inequalities

نویسنده

  • George A. Anastassiou
چکیده

Here first we collect and develop necessary background on time scales required for this article. Then we present time scales integral inequalities of types: Poincaré, Sobolev, Opial, Ostrowski and Hilbert–Pachpatte. We give also the generalized analogs of all these inequalities involving high order delta derivatives of functions on time scales. We finish with lots of applications: all these inequalities on the specific time scales R, Z and qZ, q > 1. AMS Subject Classifications: 26D15, 39A12, 93C70.

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تاریخ انتشار 2010