On the Study of the Chebyshev Property for the Families of Trigonometric Quasi-Polynomial

• Jianfeng Huang ^[1] ; Yunyan Liu ^[1] ; Jinfeng Li ^[1]
  1. [1] Jinan University

     Jinan University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 2, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This paper is concerned with the Chebyshev property for the trigonometric quasipolynomials. We generalize the Derivation-Division algorithm to establish a criterion preserving the Chebyshev property of the union of Chebyshev families. By virtue of this criterion, we obtain several new Chebyshev families of quasi-polynomials and trigonometric quasi-polynomials. We also apply these families to the bifurcation analysis of a kind of differential equations, and partially improve the Khovanski˘ı theorem.

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