Multivariate Caputo left fractional Landau inequalities

Author:

Anastassiou George A.1

Affiliation:

1. Department of Mathematical Sciences , University of Memphis , Memphis , TN 38152, U.S.A.

Abstract

Abstract Relied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference5 articles.

1. [1] G.A. Anastassiou, Fractional Differentiation Inequalities, Springer, Heidelberg, New York, 2009.10.1007/978-0-387-98128-4

2. [2] Kai Diethelm, The Analysis of Fractional Differentiation Equations, Springer, Heidelberg, New York, 2010.10.1007/978-3-642-14574-2_8

3. [3] Z. Ditzian, Multivariate Landau-Kolmogorov-type inequality, Math. Proc. Cambridge Philos. Soc. 105 (1989), no. 2, 335-350.

4. [4] O. Kounchev, Extremizers for the multivariate Landau-Kolmogorov inequality, Multivariate approximation (Witten-Bommerholz, 1996), 123-132, Math. Res., 101, Akademie Verlag, Berlin, 1997.

5. [5] E. Landau, Einige Ungleichungen für zweimal differentzierban funktionen, Proc. London Math. Soc., 13 (1913), 43-49.

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1. Multidimensional Caputo Left Side Fractional Landau Inequalities;Studies in Systems, Decision and Control;2021

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