Note on the best approximate integration formulae

František Pecka

Aplikace matematiky (1967)

  • Volume: 12, Issue: 5, page 364-372
  • ISSN: 0862-7940


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 .

How to cite


Pecka, František. "Poznámka ke kvadraturám s minimálním odhadem zbytku." Aplikace matematiky 12.5 (1967): 364-372. <>.

author = {Pecka, František},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {cze},
number = {5},
pages = {364-372},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Poznámka ke kvadraturám s minimálním odhadem zbytku},
url = {},
volume = {12},
year = {1967},

AU - Pecka, František
TI - Poznámka ke kvadraturám s minimálním odhadem zbytku
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 5
SP - 364
EP - 372
LA - cze
KW - numerical analysis
UR -
ER -


  1. В. И. Крылов, Приближенное вычисление интегралов, Москва 1959. (1959) Zbl1047.90504
  2. С. M. Никольский, Квадратурные формулы, Москва 1958. (1958) Zbl0995.62501
  3. A. Sard, 10.2307/2372095, American Journal of Math. 71, 1949, 80-91. (1949) Zbl0039.34104MR0029283DOI10.2307/2372095

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