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Caputo Fractional Iyengar Inequalities

  • George A. AnastassiouEmail author
Chapter
Part of the Studies in Computational Intelligence book series (SCI, volume 886)

Abstract

Here we present Caputo fractional Iyengar type inequalities with respect to \( L_{p}\) norms, with \(1\le p\le \infty \). The method is based on the right and left Caputo fractional Taylor’s formulae. See also [3].

References

  1. 1.
    G.A. Anastassiou, Fractional Differentiation Inequalities (Springer, Heidelberg, New York, 2009)Google Scholar
  2. 2.
    G.A. Anastassiou, Intelligent Mathematical Computational Analysis (Springer, Heidelberg, New York, 2011)Google Scholar
  3. 3.
    G.A. Anastassiou, Caputo Fractional Iyengar Type Inequalities, submitted for publication (2019)Google Scholar
  4. 4.
    K. Diethelm, The Analysis of Fractional Differential Equations (Springer, Heidelberg, New York, 2010)Google Scholar
  5. 5.
    K.S.K. Iyengar, Note on an inequality. Math. Student 6, 75–76 (1938)zbMATHGoogle Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

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