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5 results on '"Leng, Tuo"'

2. Generalizations of Cauchy-Schwarz inequality in unitary spaces

Author

Leng Tuo (冷拓)

Subjects
Hölder's inequality, Kantorovich inequality, Applied Mathematics, Ky Fan inequality, Poincaré inequality, Minkowski inequality, Algebra, symbols.namesake, symbols, Discrete Mathematics and Combinatorics, Log sum inequality, Rearrangement inequality, Cauchy–Schwarz inequality, Analysis, Mathematics
Abstract

In this paper, we give a generalization of Cauchy-Schwarz inequality in unitary spaces and obtain its integral analogs. As an application, we establish an inequality for covariances.

Published
2015

3. Note on an inequality of Vicente Gonçalves

Author

Yuan Jun (袁俊) and Leng Tuo (冷拓)

Subjects
Kantorovich inequality, Polynomial, Inequality, General Mathematics, media_common.quotation_subject, Ky Fan inequality, MathematicsofComputing_NUMERICALANALYSIS, General Engineering, Algebra, Properties of polynomial roots, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Log sum inequality, Cauchy–Schwarz inequality, Mathematical economics, Mathematics, media_common
Abstract

In this paper, a new proof of the inequality of Vicente Goncalves was given. The method may be powerful to deal with some problems of polynomials. As an application, a new inequality for the coefficients of a polynomial and its roots was derived.

Published
2007

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