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Some Dynamic Inequalities Involving Hilbert and Hardy–Hilbert Operators with Kernels

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In this paper, we prove some new dynamic inequalities involving Hilbert and Hardy–Hilbert operators with kernels and use them to establish general forms of multiple Hilbert and Hardy–Hilbert type inequalities on time scales.

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Authors and Affiliations

  1. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

  2. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, 11884, Egypt

    Haytham M. Rezk

  3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    Samir H. Saker

Authors
  1. Donal O’Regan
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  2. Haytham M. Rezk
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  3. Samir H. Saker
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Correspondence to Samir H. Saker.

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O’Regan, D., Rezk, H.M. & Saker, S.H. Some Dynamic Inequalities Involving Hilbert and Hardy–Hilbert Operators with Kernels. Results Math 73, 146 (2018). https://doi.org/10.1007/s00025-018-0908-4

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  • DOI: https://doi.org/10.1007/s00025-018-0908-4

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