Geodesic
On a theorem of V. Pták concerning best approximation of continuous functions in the metric $\int_a^b|x(t)|dt$
Czechoslovak Mathematical Journal, Tome 10 (1960) no. 3, pp. 425-431
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DOI : 10.21136/CMJ.1960.100423
Classification : 46.00 
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     year = {1960},
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Singer, Ivan. On a theorem of V. Pták concerning best approximation of continuous functions in the metric $\int_a^b|x(t)|dt$. Czechoslovak Mathematical Journal, Tome 10 (1960) no. 3, pp. 425-431. doi: 10.21136/CMJ.1960.100423

[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. | MR | Zbl

[2] Хавинсон С. Я.: О единственности функции наилучшего приближения в метрике пространства $L_1$. Изв. Акад. Наук СССР, сер. мат., 22 (1958), 243-270. | MR | Zbl

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[4] Pták V.: A remark on approximation of continuous functions. Czechoslovak Math. Journal, 8 (1958), 251-256. | MR

[5] Pták V.: On approximation of continuous functions in the metric $\int \sb{a}\sp{b}\vert x(t)\vert dt$. Czechoslovak Math. Journal, 8 (1958), 267-273. | MR

[6] Pták V.: Supplement to the article "On approximation of continuous functions in the metric $\int \sb{a}\sp{b}\vert x(t)\vert dt$. Czechoslovak Math. Journal, 8 (1958), 464. | MR

[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. | MR

[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. | MR | Zbl

[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. | MR

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