### On approximation of continuous periodic functions by Stechkin's polynomials

#### Abstract

#### Keywords

#### Full Text:

PDF (Русский)#### References

Draganov B.R. "Exact estimates of the rate of approximation of convolution operators", *Journal Appr. Theory*, 2010; 162: pp. 952-979. doi:10.1016/j.jat.2009.10.003

Ivanov V.I. "Direct and inverse theorems of approximation theory for periodic functions in the works of S.B. Stechkin and their extension", *Trudy IMM UroRAN*, 2010; 16(4): pp. 5-17. (in Russian) doi:10.1134/S0081543811050014

Kolomojtsev Yu.S., Trigub R.M. "On one non-classical method of approximation of periodic functions by trigonometrical polynomials", *Ukr. matem. visnyk*, 2012; 9(3): pp. 356-374. (in Russian) doi:10.1007/s10958-012-1111-x

Kotova O.V., Trigub R.M. "Exact order of approximation of periodic functions with one non-classical method of Fourier series summation", *Ukrainian Math. J.*, 2012; 64(7): pp. 954-969. (in Russian) doi:10.1007/s11253-012-0701-6

Liflyand E., Samko S., Trigub R. "The Wiener Algebra of Absolutely Convergent Fourier Integrals: an overview", *Analysis and Math.Physics*, Springer, 2012; 2(1): pp. 1-68. doi:10.1007/s13324-012-0025-6

Prasolov V.V. *Polynomials*, MTSNMO, Moscow, 2001; 336 p. (in Russian)

Stein I., Weiss G. *Introduction to Fourier analysis on Euclidean spaces*, Mir, Moscow, 1974; 333 p. (in Russian)

Stechkin S.B. "On the order of the best approximation of continuous functions", *Izv. AN SSSR*, 1951; 15(3): pp. 219-242. (in Russian)

Trigub R.M. "Exact order of approximation of periodic functions by linear polynomial operators", *East J. Approx.*, 2009; 15(1): pp. 25-50.

Trigub R.M., Belinsky E.S. *Fourier Analysis and Approximation of functions*, Kluwer-Springer, 2004; 585 p. doi:10.1007/978-1-4020-2876-2

DOI: https://doi.org/10.15421/241314

### Refbacks

- There are currently no refbacks.

Copyright (c) 2013 O.V. Kotova

This work is licensed under a Creative Commons Attribution 4.0 International License.