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New generalizations of Németh–Mohapatra type inequalities on time scales

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Abstract

Some new dynamic inequalities on time scales are established, that reduce in the discrete and the continuous cases to classical inequalities named after Németh and Mohapatra, respectively. The new generalized inequalities resemble intensive classical inequalities known in the literature such as Beesack type inequalities, Copson type inequalities and Hardy–Littlewood type inequalities. The main results will be proved by employing the time scales Hölder inequality and the time scales power rules for integrations that have been proved earlier.

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Authors and Affiliations

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

    R. P. Agarwal

  2. Department of Mathematics, Fayoum University, Fayoum, Egypt

    R. R. Mahmoud

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

    S. H. Saker

  4. Department of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080, Van, Turkey

    C. Tunç

Authors
  1. R. P. Agarwal
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  2. R. R. Mahmoud
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  3. S. H. Saker
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  4. C. Tunç
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Correspondence to R. P. Agarwal.

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Agarwal, R.P., Mahmoud, R.R., Saker, S.H. et al. New generalizations of Németh–Mohapatra type inequalities on time scales. Acta Math. Hungar. 152, 383–403 (2017). https://doi.org/10.1007/s10474-017-0718-2

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  • DOI: https://doi.org/10.1007/s10474-017-0718-2

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