The exact order of approximation to periodic functions by Bernstein-Stechkin polynomials
Journal Article
·
· Sbornik. Mathematics
- Donetsk National University, Donetsk (Ukraine)
The paper concerns the approximation properties of the Bernstein-Stechkin summability method for trigonometric Fourier series. The Jackson-Stechkin theorem is refined. Moreover, for any continuous periodic function not only is the exact upper estimate for approximation found, a lower estimate of the same order is also put forward. To do this special moduli of smoothness and the K-functional are introduced. Bibliography: 16 titles.
- OSTI ID:
- 22365854
- Journal Information:
- Sbornik. Mathematics, Vol. 204, Issue 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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