Numerical radius inequalities and its applications in estimation of zeros of polynomials
By Pintu Bhunia, Santanu Bag, Kallol Paul. Linear Algebra and its Applications, 2019
66 citations recorded by the source corpus.
Abstract We present some upper and lower bounds for the numerical radius of a bounded linear operator defined on complex Hilbert space, which improves on the existing upper and lower bounds. We also present an upper bound for the spectral radius of sum of product of n pairs of operators. As an application of the results obtained, we provide a better estimation for the zeros of a given polynomial.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/0562e300971de4f5600c4c1c6a898d9bcdf0b256
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- On inequalities for A-numerical radius of operators (2019, background): “ON INEQUALITIES FOR A-NUMERICAL RADIUS OF OPERATORS 3 Over the years many mathematicians have studied numerical radius inequalities in [5, 7, 8, 9, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24].”
- Some improvements of numerical radius inequalities of operators and operator matrices (2019, background): “Various numerical radius inequalities improving this inequality have been given in [3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 20, 21, 22].”
- More accurate numerical radius inequalities (I) (2019, background): “We refer the reader to [1, 2, 4, 5, 7, 9, 10, 11] as a sample of treatments of this interest.”
- A-Numerical Radius Orthogonality and Parallelism of Semi-Hilbertian Space Operators and Their Applications (2020, background): “Notice that the study of numerical radius inequalities received considerable attention in the last decades (the reader is invited to consult for example [5, 6] and the references therein).”
- Bounds of numerical radius of bounded linear operators using t-Aluthge transform (2019, background): “Various mathematicians [2, 3, 4, 7, 8, 11, 12, 13] have studied and improved on the numerical radius inequality over the years using different techniques.”