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Discrete qualitative inequalities and applications

โœ Scribed by C. Corduneanu

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
373 KB
Volume
25
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

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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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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.

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Some new explicit bounds on solutions to a class of new nonlinear Volterra-Fredholm-type discrete inequalities are established, which can be used as effective tools in the study of certain sum-difference equations. Application examples are also indicated.