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].
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References
G.A. Anastassiou, Fractional Differentiation Inequalities (Springer, Heidelberg, New York, 2009)
G.A. Anastassiou, Intelligent Mathematical Computational Analysis (Springer, Heidelberg, New York, 2011)
G.A. Anastassiou, Caputo Fractional Iyengar Type Inequalities, submitted for publication (2019)
K. Diethelm, The Analysis of Fractional Differential Equations (Springer, Heidelberg, New York, 2010)
K.S.K. Iyengar, Note on an inequality. Math. Student 6, 75–76 (1938)
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Anastassiou, G.A. (2020). Caputo Fractional Iyengar Inequalities. In: Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Studies in Computational Intelligence, vol 886. Springer, Cham. https://doi.org/10.1007/978-3-030-38636-8_2
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DOI: https://doi.org/10.1007/978-3-030-38636-8_2
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