The divergence phenomena of interpolation type operators in L p space

T. Xie; S. Zhou

Colloquium Mathematicae (1992)

  • Volume: 63, Issue: 2, page 323-328
  • ISSN: 0010-1354

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Xie, T., and Zhou, S.. "The divergence phenomena of interpolation type operators in $L^p$ space." Colloquium Mathematicae 63.2 (1992): 323-328. <http://eudml.org/doc/210158>.

@article{Xie1992,
author = {Xie, T., Zhou, S.},
journal = {Colloquium Mathematicae},
keywords = {real distinct nodes; $L^p$ space; divergence phenomenon; approximation; interpolation type operator; trigonometric polynomial; Lagrange interpolating polynomial; best approximation},
language = {eng},
number = {2},
pages = {323-328},
title = {The divergence phenomena of interpolation type operators in $L^p$ space},
url = {http://eudml.org/doc/210158},
volume = {63},
year = {1992},
}

TY - JOUR
AU - Xie, T.
AU - Zhou, S.
TI - The divergence phenomena of interpolation type operators in $L^p$ space
JO - Colloquium Mathematicae
PY - 1992
VL - 63
IS - 2
SP - 323
EP - 328
LA - eng
KW - real distinct nodes; $L^p$ space; divergence phenomenon; approximation; interpolation type operator; trigonometric polynomial; Lagrange interpolating polynomial; best approximation
UR - http://eudml.org/doc/210158
ER -

References

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  1. [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. Zbl0761.42003
  2. [2] V. P. Motornyĭ, Approximation of periodic functions by interpolation polynomials in L 1 , Ukrain. Math. J. 42 (1990), 690-693. 
  3. [3] K. I. Oskolkov, Inequalities of the 'large sieve' type and applications to problems of trigonometric approximation, Analysis Math. 12 (1986), 143-166. Zbl0654.42004
  4. [4] A. F. Timan, Theory of Approximation of Functions of a Real Variable, Macmillan, New York 1963. Zbl0117.29001
  5. [5] T. F. Xie and S. P. Zhou, On approximation by trigonometric Lagrange interpolat- ing polynomials, Bull. Austral. Math. Soc. 40 (1989), 425-428. Zbl0687.42003

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