Name
Abstract | ||
|---|---|---|
We study the kernels of the remainder term Rn,s(f) of Gauss-Thrán quadrature formulas ∫-11f(t)w(t)dt = Ai,vf(i)(τv)+Rn,s(f) (n ∈ N; s ∈ N0) for classes of analytic functions on elliptical contours with foci at ± 1, when the weight w is one of the special Jacobi weights w(α,β)(t) = (1 - t)α(1 + t)β (α = β = -1/2; α = β = 1/2 + s; α = -1/2, β = 1/2 + s; α = 1/2 + s, β = -1/2). We investigate the location on the contour where the modulus of the kernel attains its maximum value. Some numerical examples are included. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1090/S0025-5718-03-01544-8 | Mathematics of Computation |
Keywords | Field | DocType |
maximum value,remainder term rn,n quadrature formula,weight w,analytic function,error bound,numerical example,elliptical contour,special jacobi weights w,kernel function,measure,weight,orthogonality | Gauss,Mathematical analysis,Upper and lower bounds,Integral representation,Analytic function,Methods of contour integration,Remainder,Orthogonality,Quadrature (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
72 | 244 | 0025-5718 |
Citations | PageRank | References |
5 | 0.72 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gradimir V. Milovanović | 1 | 45 | 11.62 |
| Miodrag M. Spalevic | 2 | 51 | 9.97 |