Solution of the Kolmogorov-Nikol’skii problem for three-harmonic Poisson integrals on classes $C^{\psi}_{\beta,\infty}$

• Date: 2014
• Main Authors: Grabova, U. Z., Kal’chuk, I. V., Грабова, У. З., Кальчук, І. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2014
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/70
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We obtain asymptotic equalities for upper bounds of approximations by threeharmonic integrals of Poisson $P_{3}(\delta)$ in uniform metric on classes of continuous $2\pi$-periodic functions whose $(\psi,\beta)$-derivatives belong to the unit ball of the space $L_{\infty}$, in the case when the funct...