On the method of approximation by families of linear polynomial operators

Zeitschrift für Analysis und ihre Anwendungen

Volumn 19, Issue 3, 2000, Pages 677-693

  Burinska, Z ^a   Runovski, K ^a   Schmeisser, H J ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

Best approximation by trigonometric polynomials; Families of linear polynomial operators; Fourier and interpolation means

Indexed keywords

EID: 26444474696     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Arestov, V. V.: On inequalities of Bernstein for algebraic and trigonometric polynomials. Soviet Math. Dokl. 20 (1979), 600-603
2. (translated from Dokl. Akad. Nauk SSSR 246 (1979), 1289-1292).
3. Bahvalov, N., Gidkov, N. and G. Kobel'kov: Computational Methods (in Russian). Moscow: Nauka 1987.
4. p, 0 < p < 1 (in Russian). Matem. Zametki 28 (1980), 859-868.
5. Kashin, B. and A. Saakyan: Orthogonal Series (in Russian). Moscow: Nauka 1984.
6. Rudin, W.: Functional Analysis, 2nd ed. New York: McGraw-Hill Inc. 1991.
7. p-spaces, 0 < p < 1. Russian Acad. Sci. Sb. Math. 78 (1994), 165-173
8. (translated from Ross. Akad. Nauk Matem. Sbornik 184 (1993), 33-42).
9. p-spaces, 0 < p < 1. Russian Acad. Sci. Sb. Math. 82 (1995), 441-459
10. (translated from Ross. Akad. Sci Matem. Sbornik 185 (1994), 81-102).
11. p-spaces, 0 < p < 1. Russian Acad. Sci. Dokl. Math. 48 (1994), 210-213
12. (translated from Ross. Akad. Nauk Dokl. 331 (1993), 684-686).
13. Schmeisser, H.-J. and W. Sickel: On strong summability of multiple Fourier series and approximation of periodic functions. Math. Nachr. 133 (1987), 211-236.
14. Schmeisser, H.-J. and H. Triebel: Topics in Fourier Analysis and Function Spaces. Chichester: John Wiley & Sons 1987.
15. Stein, E. M. and G. Weiss: Introduction to Fourier Analysis on Euclidean Spaces. Princeton: University Press 1971.
16. Tikhomirov, V.: Some Problems of Approximation Theory (in Russian). Moscow: Univ. Press 1976.
17. Triebel, H.: Theory of Function Spaces. Leipzig: Geest & Portig 1983.
18. Zygmund, A.: Trigonometric Series, Vol. 2/2nd ed. Cambridge: Univ. Press 1987.