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Discrete Wirtinger and isoperimetric type inequalities

Published online by Cambridge University Press:  17 April 2009

Dingyi Tang
Dingyi Tang
Affiliation:
Department of Science and Mathematics, Coker College, Hartsville SC 29550, United States of America
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Abstract

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In this paper we give some new types of inequalities which can be regarded as discrete forms of the Wirtinger inequality and several new isoperimetric-type inequalities.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 3 , June 1991 , pp. 467 - 474
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Kazarinoff, N.D., Geometric inequalities (New Math. Library, Math. Assoc. of America, 1961).CrossRefGoogle Scholar
[2]do Carmo, M.P., Differential geometry of curves and surfaces (Prentice-Hall, Inc., Englewood Cliffs, N.J., 1976).Google Scholar
[3]Marsden, J.E. and Tromba, A.J., Vector calculus, Second Edition (W.H. Freeman and Company, 1981).Google Scholar
[4]Osserman, R., ‘The isoperimetric inequality’, Bull. Amer. Math. Soc. 84 (1978), 1182–1238.CrossRefGoogle Scholar
[5]Tang, D., Dissertation (University of Massachusetts at Amherst). (in preparation).Google Scholar