Caputo fractional Iyengar type Inequalities

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

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.
Published
2019-10-15
How to Cite
Anastassiou, G. A. (2019). Caputo fractional Iyengar type Inequalities. CUBO, A Mathematical Journal, 21(2), 01–13. https://doi.org/10.4067/S0719-06462019000200001