On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$

• Дата: 2004
• Автори: Metelichenko, A.B., Метеличенко, А. Б.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2004
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3728
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider certain modified interpolation polynomials for functions from the space $L_p \;[0, 2π], 1 ≤ p ≤ ∞$. An estimate for the rate of approximation of an original function f by these polynomials in terms of its modulus of continuity is obtained. We establish that these polynomials converge alm...