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Applied Mathematics and Mechanics

, Volume 29, Issue 1, pp 23–29 | Cite as

Some integral inequalities on time scales

  • Adnan Tuna
  • Servet KutukcuEmail author
Article

Abstract

In this article, we study the reverse Hölder type inequality and Hölder inequality in two dimensional case on time scales. We also obtain many integral inequalities by using Hölder inequalities on time scales which give Hardy’s inequalities as spacial cases.

Key words

integral inequalities Hölder’s inequalities Hardy’s inequalities time scales reverse inequality 

Chinese Library Classification

O175.7 O178 

2000 Mathematics Subject Classification

26D15 39A10 

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Copyright information

© Editorial Committee of Appl. Math. Mech. and Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Science and ArtsGazi UniversityAnkaraTurkey

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