Analog of the mean-value theorem for polynomials of special form

• Datum: 2011
• Hauptverfasser: Trofymenko, O. D., Трофименко, О. Д.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2754
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

A mean value theorem for polynomials of a special form is proved. The case of a sum over vertices of a regular polygon is studied and a criterion for the equation of a special form to be satisfied is obtained.