Caputo Fractional Iyengar Inequalities

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


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].


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    G.A. Anastassiou, Caputo Fractional Iyengar Type Inequalities, submitted for publication (2019)Google Scholar
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    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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