Caputo fractional Iyengar type Inequalities

Authors

  • George A. Anastassiou Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

DOI:

https://doi.org/10.4067/S0719-06462019000200001

Keywords:

Iyengar inequality, right and left Caputo fractional, Taylor formulae, Caputo fractional derivative

Abstract

Here we present Caputo fractional Iyengar type inequalities with respect to Lp norms, with 1 ≤ p ≤ ∞. The method is based on the right and left Caputo fractional Taylor‘s formulae.

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References

[1] George A. Anastassiou, Fractional Differentiation Inequalities, Springer, Heidelberg, New York, 2009.
[2] George A. Anastassiou, Intelligent Mathematical Computational Analysis, Springer, Heidelberg, New York, 2011.
[3] K. Diethelm, The Analysis of Fractional Differential Equations, Springer, Heidelberg, New York, 2010.
[4] K.S.K. Iyengar, Note on an inequality, Math. Student, 6 (1938), 75-76.

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Published

2019-08-10

How to Cite

[1]
G. A. Anastassiou, “Caputo fractional Iyengar type Inequalities”, CUBO, vol. 21, no. 2, pp. 01–13, Aug. 2019.

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