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.
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Anastassiou, G.A. (2019). Local Fractional Inequalities. In: Anastassiou, G., Rassias, J. (eds) Frontiers in Functional Equations and Analytic Inequalities. Springer, Cham. https://doi.org/10.1007/978-3-030-28950-8_23
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DOI: https://doi.org/10.1007/978-3-030-28950-8_23
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