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Results in Mathematics

, 73:146 | Cite as

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

  • Donal O’Regan
  • Haytham M. Rezk
  • Samir H. Saker
Article
  • 15 Downloads

Abstract

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.

Keywords

Hilbert’s inequality Hölder’s inequality time scales 

Mathematics Subject Classification

26D15 34A40 39A12 34N05 

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Donal O’Regan
    • 1
  • Haytham M. Rezk
    • 2
  • Samir H. Saker
    • 3
  1. 1.School of Mathematics, Statistics and Applied MathematicsNational University of IrelandGalwayIreland
  2. 2.Department of Mathematics, Faculty of ScienceAl-Azhar UniversityNasr CityEgypt
  3. 3.Department of Mathematics, Faculty of ScienceMansoura UniversityMansouraEgypt

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