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Research Article

Hardy integral inequalities involving many functions for 0 < p < 1

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Pages 917-926 | Received 01 Jul 2020, Published online: 15 Aug 2021

References

  • J. Bergh, V. I. Burenkov, L. E. Persson, Best constants in reversed Hardy’s inequalities for quasimonotone functions. Acta Sci. Math. (Szeged), volume 59 (1994), pp. 221-239.
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  • V. I. Burenkov, On the exact constant in the Hardy inequality with 0 < p <1 for monotone functions. Trudy Mat. Inst. Steklov 194 (1992), pp. 58-62.
  • V. I. Burenkov, Functions spaces Lp, Moscow publishing house of the University of Friendship of Nations, Moscow, 1987.
  • G. H. Hardy, Notes on some points in the integral calculus, LX. An inequality between integrals, Messenger (1925), 29-51.
  • M. Houas, Some integral inequalities involving Saigo fractional integral operators, Journal of Interdisciplinary Mathematics (2018), 21:3, 681-694, DOI: https://doi.org/10.1080/09720502.2016.1160573
  • A. Kufner, L. Maligranda and L. E. Persson. The Hardy inequality about its history and some related results. Pilsen Edition, 2007.
  • S. A. Bendaoud, A. Senouci. Hardy type integral inequalities involving many functions for 0 < p < 1. International conference on operators in Morrey-type spaces and applications. 10-13 July, 2017 Kirshehir, Turkey. Abstracts book, pp. 165-166.

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