ArticleOriginal scientific text

Title

The divergence phenomena of interpolation type operators in Lp space

Authors 1, 2

Affiliations

  1. Department of Mathematics, Hangzhou University, Hangzhou, Zhejiang, China
  2. Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada B3h 3j5

Keywords

real distinct nodes, Lp space, divergence phenomenon, approximation, interpolation type operator

Bibliography

  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 L1, 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.
Pages:
323-328
Main language of publication
English
Received
1991-09-13
Accepted
1992-02-15
Published
1992
Exact and natural sciences