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Sharp discrete inequalities and applications to discrete variational problems

โœ Scribed by Wing-Sum Cheung


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
497 KB
Volume
232
Category
Article
ISSN
0377-0427

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โœฆ Synopsis


Some new discrete inequalities involving monotonic or convex functions are obtained. While these are interesting inequalities in their own right, they can be applied to solving certain types of discrete variational problems effectively.


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On some new nonlinear discrete inequalit
โœ Fan Wei Meng; Dehong Ji ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

In this paper, some new discrete inequalities in two independent variables which provide explicit bounds on unknown functions are established. The inequalities given here can be used as tools in the qualitative theory of certain finite difference equations.