An approximation of class of convolutions of periodic functions by linear methods based on their Fourier-Lagrange coefficients

• Datum: 2017
• Hauptverfasser: Serdyuk, A. S., Sokolenko, I. V., Сердюк, А. С., Соколенко, І. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2017
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/117
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We calculate the least upper bounds of pointwise and uniform approximations for classes of $2\pi$-periodic functions expressible as convolutions of an arbitrary square summable kernel with functions, which belong to the unit ball of the space $L_2$, by linear polynomial methods, constructed on the b...