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2003•Unpublished venueRequires access

NEW INEQUALITIES BETWEEN ELEMENTARY SYMMETRIC POLYNOMIALS

Todor P. Mitev

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Abstract

ABSTRACT. New families of sharp inequalities between elementary symmetric polynomials are proven. We estimate σn−k above and below by the elementary symmetric polynomials σn−k+1,..., σn in the case, when x1,..., xn are non-negative real numbers with sum equal to one. Key words and phrases: Elementary symmetric polynomials. 2000 Mathematics Subject Classification. 26D05. 1.

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ABSTRACT. New families of sharp inequalities between elementary symmetric polynomials are proven. We estimate σn−k above and below by the elementary symmetric polynomials σn−k+1,..., σn in the case, when x1,..., xn are non-negative real numbers with sum equal to one. Key words and phrases: Elementary symmetric polynomials. 2000 Mathematics Subject Classification. 26D05. 1.

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Available abstract

ABSTRACT. New families of sharp inequalities between elementary symmetric polynomials are proven. We estimate σn−k above and below by the elementary symmetric polynomials σn−k+1,..., σn in the case, when x1,..., xn are non-negative real numbers with sum equal to one. Key words and phrases: Elementary symmetric polynomials. 2000 Mathematics Subject Classification. 26D05. 1.

Key concepts: Mathematics, Inequality, Pure mathematics, Algebra over a field, Mathematical analysis

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