Abstract
Here we define a Caputo like discrete fractional difference and we compare it to the earlier defined Riemann-Liouville fractional discrete analog. Then we present discrete fractional Taylor formulae and we estimate their remainders. Finally we give related discrete fractional Ostrowski, Poincare and Sobolev type inequalities. This chapter is based on [48].
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© 2011 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A. (2011). About Discrete Fractional Calculus with Inequalities. In: Intelligent Mathematics: Computational Analysis. Intelligent Systems Reference Library, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17098-0_35
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DOI: https://doi.org/10.1007/978-3-642-17098-0_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17097-3
Online ISBN: 978-3-642-17098-0
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