Certain negative results on consequences of the first kind multipliers

• Дата: 1992
• Автори: A. G., Bakan, Golub, A. P., Бакан, A. Г., Голуб, А. П.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8098
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

It is proved that the composition of a polynomial with a multiplier sequence of the first kind may lead to a diminishing of the number of real roots of this polynomial and that the reciprocals of the moments of a nonnegative function on [0, 1] need not form a multiplier sequence of the first kind. O...