Optimal quadrature formulae for differentiable functions

CALCOLO ◽  
1986 ◽  
Vol 23 (1) ◽  
pp. 67-92 ◽  
Author(s):  
G. R. Grozev
Keyword(s):  
Quadrature Formulae ◽  
Optimal Quadrature ◽  
Differentiable Functions ◽  
Optimal Quadrature Formulae

On optimal quadrature formulae

2000 ◽  
Vol 2000 (3) ◽  
pp. 923754 ◽  
Author(s):  
Flavia Lanzara
Keyword(s):  
Quadrature Formulae ◽  
Optimal Quadrature ◽  
Optimal Quadrature Formulae

scholarly journals Optimal quadrature formulae and minimal monosplines in Lq

1970 ◽  
Vol 11 (1) ◽  
pp. 48-56 ◽  
Author(s):  
J. Kautsky
Keyword(s):  
Quadrature Formula ◽  
Quadrature Formulae ◽  
Optimal Quadrature ◽  
Derivatives Of ◽  
Optimal Quadrature Formulae ◽  
Optimal Formula

SummaryThe quadrature formula of order m using values of derivatives up to the m — 1st order with the best possible bound in is derived. Using certain properties of the polynomials minimal in Lq norm, it is proved that the optimal formula not use the derivatives of m — 1st order if m is even.

On the existence of optimal quadrature formulae for smooth functions

CALCOLO ◽  
1979 ◽  
Vol 16 (1) ◽  
pp. 61-70 ◽  
Author(s):  
B. D. Bojanov
Keyword(s):  
Smooth Functions ◽  
Quadrature Formulae ◽  
Optimal Quadrature ◽  
Optimal Quadrature Formulae

scholarly journals On universal optimal quadrature formulae

1968 ◽  
Vol 13 (5) ◽  
pp. 388-404 ◽  
Author(s):  
Ivo Babuška
Keyword(s):  
Quadrature Formulae ◽  
Optimal Quadrature ◽  
Optimal Quadrature Formulae

Optimal quadrature formulae

2005 ◽  
Vol 60 (6) ◽  
pp. 1035-1055 ◽  
Author(s):  
B D Boyanov
Keyword(s):  
Quadrature Formulae ◽  
Optimal Quadrature ◽  
Optimal Quadrature Formulae

scholarly journals Optimal quadrature formulae on the real line

1992 ◽  
Vol 165 (2) ◽  
pp. 556-564 ◽  
Author(s):  
Dimiter P Dryanov
Keyword(s):  
Real Line ◽  
The Real ◽  
Quadrature Formulae ◽  
Optimal Quadrature ◽  
Optimal Quadrature Formulae

A Class of Optimal Quadrature Formulae

1983 ◽  
Vol 3 (1) ◽  
pp. 119-125 ◽  
Author(s):  
B. L. RAINA ◽  
N. KAUL
Keyword(s):  
Quadrature Formulae ◽  
Optimal Quadrature ◽  
Optimal Quadrature Formulae
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