Approximation of classes $(\psi,\bar\beta)$-differentiable functions by interpolating trigonometric polynomials

Authors

  • A. S. Serdyuk Institute of Mathematics, NAS of Ukraine
  • I. V. Sokolenko Institute of Mathematics, NAS of Ukraine

Abstract

We calculate the least upper bounds of pointwise approximations by interpolating trigonometric polynomials with equidistant nodes of interpolation for classes convolutions of $2\pi$-periodic functions, which belong to the unit ball of the space $L_2$, with an arbitrary square summable kernel.

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Published

2016-05-16

How to Cite

Serdyuk, A. S., & Sokolenko, I. V. (2016). Approximation of classes $(\psi,\bar\beta)$-differentiable functions by interpolating trigonometric polynomials. Transactions of Institute of Mathematics, the NAS of Ukraine, 13(1), 289–299. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/219

Issue

Vol. 13 No. 1 (2016): Differential equations and related problems of analysis

Section

Research papers