Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series
Abstract
By using an exact estimate for approximation by known trigonometric polynomials, we strengthen a Jackson-type theorem. Moreover, we determine the exact order of approximation of some periodic functions by these polynomials. For this purpose, we introduce a special modulus of smoothness.Downloads
Published
25.07.2012
Issue
Section
Research articles
How to Cite
Kotova, O. V., and R. M. Trigub. “Exact Order of Approximation of Periodic Functions by One Nonclassical Method of Summation of Fourier Series”. Ukrains’kyi Matematychnyi Zhurnal, vol. 64, no. 7, July 2012, pp. 954-69, https://umj.imath.kiev.ua/index.php/umj/article/view/2631.