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Littlewood and Bennett Inequalities on Time Scales

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Abstract

In this paper, we prove some new dynamic inequalities on time scales. These inequalities contain some discrete inequalities proved by Littlewood and Bennett. The main results will be proved using the chain rule, Holder’s inequality and a new Hardy type inequality on time scales.

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Authors and Affiliations

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

    S. H. Saker

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

    D. O’Regan

  3. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, 78363, USA

    R. P. Agarwal

Authors
  1. S. H. Saker
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  2. D. O’Regan
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  3. R. P. Agarwal
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Correspondence to R. P. Agarwal.

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Saker, S.H., O’Regan, D. & Agarwal, R.P. Littlewood and Bennett Inequalities on Time Scales. Mediterr. J. Math. 12, 605–619 (2015). https://doi.org/10.1007/s00009-014-0454-6

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  • DOI: https://doi.org/10.1007/s00009-014-0454-6

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