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Rendiconti del Circolo Matematico di Palermo

, Volume 56, Issue 3, pp 349–357 | Cite as

Some remarks on reverse Hilbert and Hardy-Hilbert type inequalities

  • Mario Krnić
  • Josip Pečarić
  • Predrag Vuković
Article
  • 35 Downloads

Abstract

In this paper we obtain an extension of discrete Hilbert’s inequality, by using some numerical methods. We shall obtain, in a similar way as Yang did in [10], that the parameter from the kernel can be taken from the interval [3/2, 3). We also compare our findings with existing results, known from the literature.

2003 Mathematics Subject Classification

26D15 

Key words and phrases

Inequalities Hilbert type inequality Hardy-Hilbert type inequality reverse inequality kernel equivalent form 

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References

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Copyright information

© Springer 2007

Authors and Affiliations

  • Mario Krnić
    • 1
  • Josip Pečarić
    • 2
  • Predrag Vuković
    • 3
  1. 1.Faculty of Electrical Engineering and ComputingUniversity of ZagrebZagrebCroatia
  2. 2.Faculty of Textile TechnologyUniversity of ZagrebZagrebCroatia
  3. 3.Faculty of Teacher EducationUniversity of ZagrebCakovecCroatia

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