Some integral inequalities on time scales

Adnan Tuna;Servet Kutukcu

doi:10.1007/s10483-008-0104-y

Applied Mathematics and Mechanics >

2008 , Vol. 29 >Issue 1: 23 - 29

DOI: https://doi.org/10.1007/s10483-008-0104-y

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Some integral inequalities on time scales

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Department of Mathematics, Faculty of Science and Arts, Gazi University, Bepevler, 065000, Ankara, Turkey

Received date: 2006-09-03

Revised date: 2007-11-28

Online published: 2008-01-18

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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.

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Adnan Tuna;Servet Kutukcu . Some integral inequalities on time scales[J]. Applied Mathematics and Mechanics, 2008 , 29(1) : 23 -29 . DOI: 10.1007/s10483-008-0104-y

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