Some numerical radius inequalities with positive definite functions
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Abstract:
Using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. Also, some open problems are stated.
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some numerical radius inequalities with positive definite functions
using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. also, some open problems are stated.
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Positivity and positive definiteness in algebra of generalized functions are studied. Basic definitions and notions of Colombeau algebra of generalized functions are given and some special classes of positive definite generalized functions on those algebras are introduced. Their relation to distributions is also investigated. AMS Mathematics Subject Classification (2000):
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Concepts of abstract harmonic analysis can be used to provide a unifying framework for basis function methods, like radial basis functions in Euclidean spaces or zonal basis functions on the sphere. To illustrate how these concepts can be applied reflection invariant functions are considered. A specialization of the BochnerGodement Theorem leads to a characterization of suitable basis functions. §
full textHlawka–Popoviciu inequalities on positive definite tensors
Article history: Received 13 November 2014 Accepted 25 August 2015 Available online xxxx Submitted by V. Mehrmann MSC: 15A15 15A39 15A69 46M05 47A63
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Journal title
volume 41 issue 4
pages 889- 900
publication date 2015-08-01
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