A Note on K. Gopalsamy′s Paper
نویسندگان
چکیده
منابع مشابه
A Note on Dolich’s Paper
The proof of the above theorem, derived from ideas of A. Dolich, is more direct then the original proof of Theorem 0.1. Unfortunately, Theorem 0.2 fails in the case when φ(C, ā) is not closed and bounded. Our proof of Theorem 0.1 is similar to the proof of Y. Peterzil and A. Pillay, and is also more direct then the original proof of A. Dolich. We also derive an appropriate generalization of The...
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Recently Broyden 1] proved a property of orthogonal matrices from which he derived Farkas' lemma and some related results. It is shown that Broyden's result straightforwardly follows from well-known theorems of the alternative, like Motzkin's transposition theorem and Tucker's theorem, which are all logically equivalent to Farkas' lemma; we also answer the question of Broyden on how to eecientl...
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A generalization of two sharp inequalities in a recent paper by N. Ujević is established. Applications in numerical integration are also given and the results of N. Ujević are revised and improved. c © 2006 Elsevier Ltd. All rights reserved.
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In a recent paper, Murnaghan mentioned a theorem which he used to calculate the plethysm {8} 0 {3}. The object of the present note is to show that this theorem is a particular case of Theorem II which the author has mentioned elsewhere.' Also this note gives a method which determines some concomitants which are common to both {m} 0 {n} and {n} 0 {m} for the linear group of any dimension. The pl...
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In Section 3.1 of [1] a methodology is presented to compute the salient points of a 3D mesh based on the computation of its protrusion function, see Equation (1) in [1]. Explicitly each point υ of the Mesh is examined as a potential salient point. Specifically a geodesic neighborhood is constructed for each point of the mesh and it is considered as a salient point if it is the local maximum of ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1020