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General Multidimensional Fractional Iyengar Inequalities

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 886))

Abstract

Here we derive a variety of general multivariate fractional Iyengar type inequalities for not necessarily radial functions defined on the shell and ball.

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References

  1. T. Abdeljawad, On conformable fractional calculus. J. Comput. Appl. Math. 279, 57–66 (2015)

    Article  MathSciNet  Google Scholar 

  2. G.A. Anastassiou, Fractional Differentiation Inequalities, Research Monograph (Springer, New York, 2009)

    Book  Google Scholar 

  3. G.A. Anastassiou, On right fractional calculus. Chaos Solitons Fractals 42, 365–376 (2009)

    Article  MathSciNet  Google Scholar 

  4. G.A. Anastassiou, Intelligent Mathematical Computational Analysis (Springer, Heidelberg, New York, 2011)

    Google Scholar 

  5. G.A. Anastassiou, Mixed Conformable Fractional Approximation by Sublinear Operators. Indian J. Math. 60(1), 107–140 (2018)

    MathSciNet  MATH  Google Scholar 

  6. G.A. Anastassiou, Canavati fractional Iyengar type inequalities, Analele Universitatii Oradea, Fasc. Matematica, Tom XXVI 1, 141–151 (2019)

    MATH  Google Scholar 

  7. G.A. Anastassiou, General Multidimensional Fractional Iyengar type inequalities, Revista De la Real Academia de Ciencias Exactas. Fisicasy Naturales Serie A. Matematicas (RACSAM) 113(3), 2537–2573 (2019)

    Google Scholar 

  8. G.A. Anastassiou, Caputo fractional Iyengar type inequalities, submitted (2018)

    Google Scholar 

  9. G.A. Anastassiou, Conformable fractional Iyengar type inequalities, submitted (2018)

    Google Scholar 

  10. J.A. Canavati, The Riemann-Liouville Integral. Nieuw Archief Voor Wiskunde 5(1), 53–75 (1987)

    MathSciNet  MATH  Google Scholar 

  11. K.S.K. Iyengar, Note on an inequality. Math. Stud. 6, 75–76 (1938)

    MATH  Google Scholar 

  12. W. Rudin, Real and Complex Analysis, International Student edn. (Mc Graw Hill, London, 1970)

    Google Scholar 

  13. D. Stroock, A Concise Introduction to the Theory of Integration, 3rd edn. (Birkhaüser, Boston, Basel, Berlin, 1999)

    Google Scholar 

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2020). General Multidimensional 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_7

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