Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series

  • O. V. Kotova Донец. нац. ун-т
  • R. M. Trigub Донец. нац. ун-т

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.
Published
25.07.2012
How to Cite
KotovaO. V., and TrigubR. M. “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, http://umj.imath.kiev.ua/index.php/umj/article/view/2631.
Section
Research articles