Best simultaneous L p approximations

Yusuf Karakuş

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 3, page 457-463
  • ISSN: 0011-4642

Abstract

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In this paper we study simultaneous approximation of n real-valued functions in L p [ a , b ] and give a generalization of some related results.

How to cite

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Karakuş, Yusuf. "Best simultaneous $L_p$ approximations." Czechoslovak Mathematical Journal 48.3 (1998): 457-463. <http://eudml.org/doc/30433>.

@article{Karakuş1998,
abstract = {In this paper we study simultaneous approximation of $n$ real-valued functions in $L_\{p\}[ \{a,b\}]$ and give a generalization of some related results.},
author = {Karakuş, Yusuf},
journal = {Czechoslovak Mathematical Journal},
keywords = {quasi-metric; continuous map; Borel map; $\sigma $-discrete map; $\sigma $-discretely decomposable family; absolutely Borel set; absolutely analytic space; simultaneous approximation; -norms},
language = {eng},
number = {3},
pages = {457-463},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Best simultaneous $L_p$ approximations},
url = {http://eudml.org/doc/30433},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Karakuş, Yusuf
TI - Best simultaneous $L_p$ approximations
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 3
SP - 457
EP - 463
AB - In this paper we study simultaneous approximation of $n$ real-valued functions in $L_{p}[ {a,b}]$ and give a generalization of some related results.
LA - eng
KW - quasi-metric; continuous map; Borel map; $\sigma $-discrete map; $\sigma $-discretely decomposable family; absolutely Borel set; absolutely analytic space; simultaneous approximation; -norms
UR - http://eudml.org/doc/30433
ER -

References

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  1. Some remarks on best simultaneous approximation, Theory of Approximation with Application, A.G. Law and B.N. Sahney (eds.), Academic Press, New York, 1976, pp. 332–337. (1976) MR0412694
  2. On simultaneous Chebyshev approximation in the sum norm, Proc. Amer. Mat. Soc. 48 (1975), 185–188. (1975) Zbl0296.41020MR0361555
  3. Best simultaneous approximation in the L 1 and L 2 norms, Theory of Approximation with Applications, A.G. Law and B.N. Sahney (eds.), Academic press, New York, 1976, pp. 213–219. (1976) MR0412693
  4. 10.1016/0021-9045(78)90021-7, Journal of Approximation Theory 24 (1978), 361–365. (1978) MR0523985DOI10.1016/0021-9045(78)90021-7
  5. Simultaneous approximation in L p norm, Doga-Turkish Journal of Mathematics, Tübitak-Ankara 15 (1991), 25–28. (1991) MR1100817
  6. Simultaneous Approximation in L p [ a , b ] when p is non-integer real number, Doga-Turkish Journal of Mathematics, Tübitak-Ankara 15 (1991), 165–168. (1991) MR1136185

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