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A refined discrete Hilbert inequality obtained via the Hermite–Hadamard inequality

✍ Scribed by Mario Krnić

Book ID
113512278
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
263 KB
Volume
63
Category
Article
ISSN
0898-1221

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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.