Geodesic
Poznámka ke kvadraturám s minimálním odhadem zbytku
Applications of Mathematics, Tome 12 (1967) no. 5, pp. 364-372
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This paper is concerned with minimizing the norm of the remainder of integration formula. The author states that for some classes of functions the minimum is achieved only if the remainder vanishes for every polynomial of degree $ r$.
This paper is concerned with minimizing the norm of the remainder of integration formula. The author states that for some classes of functions the minimum is achieved only if the remainder vanishes for every polynomial of degree $ r$.
DOI : 10.21136/AM.1967.103113
Classification : 65.55
Mots-clés : numerical analysis 
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     title = {Pozn\'amka ke kvadratur\'am s minim\'aln{\'\i}m odhadem zbytku},
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     pages = {364--372},
     year = {1967},
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Pecka, František. Poznámka ke kvadraturám s minimálním odhadem zbytku. Applications of Mathematics, Tome 12 (1967) no. 5, pp. 364-372. doi: 10.21136/AM.1967.103113

[1] В. И. Крылов: Приближенное вычисление интегралов. Москва 1959. | Zbl

[2] С. M. Никольский: Квадратурные формулы. Москва 1958. | Zbl

[3] A. Sard: Best approximate integration formulas. Best approximation formulas. American Journal of Math. 71, 1949, 80-91. | DOI | MR | Zbl

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