Discrete quadratic Wirtinger's inequalities
β Scribed by Sui-Sun Cheng
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 733 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
In this paper, we obtain an improved discrete Wirtinger inequality associated with a nonlinear second order differential equation. We apply this result to prove a Bonnesen-style isoperimetric inequality for plane polygons and reinterpret the main theorem as a weighted exponential inequality.
We consider systems of quadratic diophantine inequlities. For example, suppose that Q 1 and Q 2 are real diagonal quadratic forms in s variables, where one has s 10. Suppose also that every form :Q 1 +;Q 2 with (:, ;) # R 2 "[0] has at least 5 nonzero coefficients, one irrational coefficient, at lea