On zeros of numerator and denominator polynomials of Thiele’s continued fraction

• Datum: 2022
• Hauptverfasser: Pahirya, M. M., Пагіря, М. М.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6133
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.518:519.652 We prove that the polynomials of canonical numerators and denominators of the interpolation and approximation convergents of Thiele’s continued fractions have no common zeros. It is established that the convergents of Thiele’s continued fraction form a staircase sequence of norma...