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Levinson type inequalitis and their extensions via convexity on time scales

  • S. H. Saker
  • M. M. Osman
  • D. O’Regan
  • R. P. AgarwalEmail author
Original Paper

Abstract

In this paper, we prove some new inequalities of Levinson-type on time scales. Also we will prove some new extensions of these inequalities via convexity.

Keywords

Hardy’s inequality Jensen’s inequality Levinson’s inequality Convex functions Time scales 

Mathematics Subject Classification

26A15 26D10 26D15 39A13 34A40 34N05 

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Copyright information

© Springer-Verlag Italia S.r.l., part of Springer Nature 2017

Authors and Affiliations

  • S. H. Saker
    • 1
  • M. M. Osman
    • 1
  • D. O’Regan
    • 2
  • R. P. Agarwal
    • 3
    Email author
  1. 1.Department of Mathematics, Faculty of ScienceMansoura UniversityMansouraEgypt
  2. 2.School of Mathematics, Statistics and Applied MathematicsNational University of IrelandGalwayIreland
  3. 3.Department of MathematicsTexas A and M University-KingsvilleKingsvilleUSA

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