Some new Opial dynamic inequalities with weighted functions on time scales

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Abstract

In this paper we prove some new dynamic inequalities with two weight functions and some new dynamic inequalities with two unknown functions of Opial type on time scales. The main results will be proved by employing Hölder's inequality, the chain rule and some basic algebraic inequalities.

Original languageEnglish (Ireland)
Pages (from-to)1171-1187
Number of pages16
JournalMath. Inequal. Appl.
Volume18
Issue number3
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • Hölder's inequality
  • Opial's inequality
  • Time scales

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Saker, S. H. and Osman, M. M. and O'Regan, D. and Agarwal, R. P.

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