On optimal quadrature formulae on certain classes of periodic functions

K. I. Oskolkov

doi:10.1007/bf01447761

On optimal quadrature formulae on certain classes of periodic functions

Applied Mathematics & Optimization ◽

10.1007/bf01447761 ◽

1982 ◽

Vol 8 (1) ◽

pp. 245-263 ◽

Cited By ~ 4

Author(s):

K. I. Oskolkov

Keyword(s):

Periodic Functions ◽

Quadrature Formulae ◽

Optimal Quadrature ◽

Optimal Quadrature Formulae

Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangement invariant sets of derivatives

Analysis Mathematica ◽

10.1007/bf01909434 ◽

1987 ◽

Vol 13 (4) ◽

pp. 281-306 ◽

Cited By ~ 15

Author(s):

V. F. Babenko

Keyword(s):

Invariant Sets ◽

Periodic Functions ◽

Quadrature Formulae ◽

Optimal Quadrature ◽

Optimal Quadrature Formulae

Optimal Quadrature Formulae for Periodic Functions

International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique - Linear Operators and Approximation II / Lineare Operatoren und Approximation II ◽

10.1007/978-3-0348-5991-2_28 ◽

1974 ◽

pp. 363-364

Author(s):

Arnold Schönhage

Keyword(s):

Periodic Functions ◽

Quadrature Formulae ◽

Optimal Quadrature ◽

Optimal Quadrature Formulae

On optimal quadrature formulae

Journal of Inequalities and Applications ◽

10.1155/s1025583400000114 ◽

2000 ◽

Vol 2000 (3) ◽

pp. 923754 ◽

Cited By ~ 2

Author(s):

Flavia Lanzara

Keyword(s):

Quadrature Formulae ◽

Optimal Quadrature ◽

Optimal Quadrature Formulae

Optimal quadrature formulae for differentiable functions

CALCOLO ◽

10.1007/bf02576908 ◽

1986 ◽

Vol 23 (1) ◽

pp. 67-92 ◽

Cited By ~ 2

Author(s):

G. R. Grozev

Keyword(s):

Quadrature Formulae ◽

Optimal Quadrature ◽

Differentiable Functions ◽

Optimal Quadrature Formulae

Optimal quadrature formulae and minimal monosplines in Lq

Journal of the Australian Mathematical Society ◽

10.1017/s1446788700005966 ◽

1970 ◽

Vol 11 (1) ◽

pp. 48-56 ◽

Cited By ~ 4

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 ◽

10.1007/bf02575761 ◽

1979 ◽

Vol 16 (1) ◽

pp. 61-70 ◽

Cited By ~ 9

Author(s):

B. D. Bojanov

Keyword(s):

Smooth Functions ◽

Quadrature Formulae ◽

Optimal Quadrature ◽

Optimal Quadrature Formulae

On universally optimal quadrature formulae involving values of derivatives of integrand

Czechoslovak Mathematical Journal ◽

10.21136/cmj.1969.100927 ◽

1969 ◽

Vol 19 (4) ◽

pp. 605-675 ◽

Cited By ~ 2

Author(s):

Karel Segeth

Keyword(s):

Quadrature Formulae ◽

Optimal Quadrature ◽

Derivatives Of ◽

Optimal Quadrature Formulae ◽

Universally Optimal

On universal optimal quadrature formulae

Applications of Mathematics ◽

10.21136/am.1968.103185 ◽

1968 ◽

Vol 13 (5) ◽

pp. 388-404 ◽

Cited By ~ 1

Author(s):

Ivo Babuška

Keyword(s):

Quadrature Formulae ◽

Optimal Quadrature ◽

Optimal Quadrature Formulae

Optimal quadrature formulae

Russian Mathematical Surveys ◽

10.1070/rm2005v060n06abeh004280 ◽

2005 ◽

Vol 60 (6) ◽

pp. 1035-1055 ◽

Cited By ~ 2

Author(s):

B D Boyanov

Keyword(s):

Quadrature Formulae ◽

Optimal Quadrature ◽

Optimal Quadrature Formulae

Optimal quadrature formulae on the real line

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(92)90059-m ◽

1992 ◽

Vol 165 (2) ◽

pp. 556-564 ◽

Cited By ~ 1

Author(s):

Dimiter P Dryanov

Keyword(s):

Real Line ◽

The Real ◽

Quadrature Formulae ◽

Optimal Quadrature ◽

Optimal Quadrature Formulae