On a theorem of V. Pták concerning best approximation of continuous functions in the metric ∫ a b | x ( t ) | d t

I. Singer

Czechoslovak Mathematical Journal (1960)

  • Volume: 10, Issue: 3, page 425-431
  • ISSN: 0011-4642

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Singer, I.. "On a theorem of V. Pták concerning best approximation of continuous functions in the metric $\int _a^b|x(t)|dt$." Czechoslovak Mathematical Journal 10.3 (1960): 425-431. <http://eudml.org/doc/12042>.

@article{Singer1960,
author = {Singer, I.},
journal = {Czechoslovak Mathematical Journal},
keywords = {approximation and series expansion},
language = {eng},
number = {3},
pages = {425-431},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a theorem of V. Pták concerning best approximation of continuous functions in the metric $\int _a^b|x(t)|dt$},
url = {http://eudml.org/doc/12042},
volume = {10},
year = {1960},
}

TY - JOUR
AU - Singer, I.
TI - On a theorem of V. Pták concerning best approximation of continuous functions in the metric $\int _a^b|x(t)|dt$
JO - Czechoslovak Mathematical Journal
PY - 1960
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 10
IS - 3
SP - 425
EP - 431
LA - eng
KW - approximation and series expansion
UR - http://eudml.org/doc/12042
ER -

References

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  1. Хавинсон С. Я., К вопросу о единственности многоглена наилучшего приближения в метрике пространства L 1 , Докл. Акад". Наук СССР, 105 (1955), но. 6, 1159-1161. (1955) Zbl0068.31701MR0076068
  2. Хавинсон С. Я., О единственности функции наилучшего приближения в метрике пространства L 1 , Изв. Акад. Наук СССР, сер. мат., 22 (1958), 243-270. (1958) Zbl0087.10601MR0101443
  3. Jackson D., A general class of problems in approximation, Amer. Journal of Math., 46 (1924), 215-234. (1924) MR1506532
  4. Pták V., A remark on approximation of continuous functions, Czechoslovak Math. Journal, 8 (1958), 251-256. (1958) MR0100193
  5. Pták V., On approximation of continuous functions in the metric ∫ a b | x ( t ) | d t , Czechoslovak Math. Journal, 8 (1958), 267-273. (1958) MR0100752
  6. Pták V., Supplement to the article “On approximation of continuous functions in the metric ∫ a b | x ( t ) | d t , Czechoslovak Math. Journal, 8 (1958), 464. (1958) MR0100752
  7. Singer I., Proprietati ale suprafetei sferei unitate si aplicatii la rezolvarea problemei unieitatii polinomului de cea mai buna aproximatie in spatii Banach oareeare, Studii si cercet. mat., 7 (1956), No. 1 - 2, 95-145. (1956) MR0080276
  8. Singer I., Caractérisation des éléments de meilleure approximation dans un espace de Banach quelconque, Acta Sci. Math. (Szeged), 17 (1956), fasc. 3-4, 181-189. (1956) Zbl0072.13003MR0084620
  9. Singer I., Asupra unicitatii elementului de cea mai bunä aproximatie in spatii Banach oarecare, Studii si cercet. mat., 8 (1957), No. 1-2, 235-244. (1957) MR0096108

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