Name
Abstract | ||
|---|---|---|
An optimal quadrature formula in the sense of Sard in the Hilbert space K 2 ( P m ) is constructed. New optimal quadrature formula of such a type and explicit expressions for the corresponding optimal coefficients are obtained using S.L. Sobolev's method. The obtained optimal quadrature formula is exact for the trigonometric functions sin ω x , cos ω x , and for algebraic polynomials of degree m - 3 . Finally, some numerical results for the norm of the error functional of the optimal quadrature formulas are presented. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.amc.2015.02.093 | Applied Mathematics and Computation |
Keywords | Field | DocType |
hilbert space,optimal coefficients,extremal function,optimal quadrature formulas,error functional | Gauss–Kronrod quadrature formula,Mathematical optimization,Mathematical analysis,Numerical integration,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Gauss–Hermite quadrature,Quadrature domains,Gauss–Jacobi quadrature,Mathematics,Gauss–Laguerre quadrature | Journal |
Volume | Issue | ISSN |
259 | C | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Abdullo Rakhmonovich Hayotov | 1 | 9 | 4.58 |
| Gradimir V. Milovanovic | 2 | 27 | 9.33 |
| Kholmat Mahkambaevich Shadimetov | 3 | 4 | 2.88 |