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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 08 > No. 6

 
   

Hardy–Leindler Type Inequalities on Time Scales

PP: 2975-2981
Author(s)
S. H. Saker,
Abstract
In this paper, we will prove some new dynamic inequalities on a time scale T. These inequalities, as special cases, when T = R contain some integral inequalities and when T = N contain the discrete inequalities due to Leindler. The main results will be proved by using the H¨older inequality and a simple consequence of Keller’s chain rule on time scales. From our results, as applications, we will derive some new continuous and discrete Wirtinger type inequalities. The technique in this paper is completely different from the technique used by Leindler to prove his main results.

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