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Discrete analogs of inequalities of Wirtinger

✍ Scribed by Ky Fan; Olga Taussky; John Todd


Publisher
Springer Vienna
Year
1955
Tongue
English
Weight
641 KB
Volume
59
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES


On discrete inequalities of Wirtinger's
✍ Gradimir V MilovanoviΔ‡; Igor ZΜ† MilovanoviΔ‡ πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 318 KB
A Refinement of the Discrete Wirtinger I
✍ Xin-Min Zhang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 136 KB

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.