The divergence phenomena of interpolation type operators in $L^p$ space

• Autorzy: T. F. Xie , S. P. Zhou
• Języki publikacji: EN

Słowa kluczowe

EN

real distinct nodes; $L^p$ space; divergence phenomenon; approximation; interpolation type operator

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1992
• Tom: 63
• Numer: 2
• Strony: 323-328

Daty

wydano

1992

otrzymano

1991-09-13

poprawiono

1992-02-15

Twórcy

autor

T. F. Xie

• Department of Mathematics, Hangzhou University, Hangzhou, Zhejiang, China

autor

S. P. Zhou

• Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada B3h 3j5

Bibliografia

• [1] P. B. Borwein, T. F. Xie and S. P. Zhou, On approximation by trigonometric Lagrange interpolating polynomials II, Bull. Austral. Math. Soc. 45 (2) (1992), in print.
• [2] V. P. Motornyĭ, Approximation of periodic functions by interpolation polynomials in $L_1$, Ukrain. Math. J. 42 (1990), 690-693.
• [3] K. I. Oskolkov, Inequalities of the 'large sieve' type and applications to problems of trigonometric approximation, Analysis Math. 12 (1986), 143-166.
• [4] A. F. Timan, Theory of Approximation of Functions of a Real Variable, Macmillan, New York 1963.
• [5] T. F. Xie and S. P. Zhou, On approximation by trigonometric Lagrange interpolat- ing polynomials, Bull. Austral. Math. Soc. 40 (1989), 425-428.