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Two Walsh-Type Theorems for the Solutions of Multi-Affine Symmetric Polynomials

In: Progress in Approximation Theory and Applicable Complex Analysis

Author

Listed:
  • Blagovest Sendov

    (Institute of Information and Communication Technologies)

  • Hristo Sendov

    (Western University)

Abstract

The spirit of the classical Grace-Walsh-Szegő coincidence theorem states that if there is a solution of a multi-affine symmetric polynomial in a domain with certain properties, then in it there exists another solution with other properties. We present two results in the same spirit, which may be viewed as extensions of the Grace-Walsh-Szegő result.

Suggested Citation

  • Blagovest Sendov & Hristo Sendov, 2017. "Two Walsh-Type Theorems for the Solutions of Multi-Affine Symmetric Polynomials," Springer Optimization and Its Applications, in: Narendra Kumar Govil & Ram Mohapatra & Mohammed A. Qazi & Gerhard Schmeisser (ed.), Progress in Approximation Theory and Applicable Complex Analysis, pages 145-162, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-49242-1_8
    DOI: 10.1007/978-3-319-49242-1_8
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