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Canavati Fractional Iyengar Inequalities

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

Abstract

Here we present Canavati 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 Canavati fractional Taylor’s formulae. See also [3].

References

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    G.A. Anastassiou, Canavati fractional Iyengar type inequalities. An. Univ. Oradea Fasc. Mat. XXVI(1), 141–151 (2019)MathSciNetzbMATHGoogle Scholar
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    J.A. Canavati, The Riemann–Liouville integral. Nieuw Arch. Voor Wiskd. 5(1), 53–75 (1987)MathSciNetzbMATHGoogle 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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