عنوان المقالة:Cubature formula for bivariate generalized Chebyshev Koornwinder’s type polynomials Cubature formula for bivariate generalized Chebyshev Koornwinder’s type polynomials
Khaldoun AyyalSalman,Maalee Al Mheidat, Mohammad Al Qudah
المؤلفون بالإنجليزي
Khaldoun AyyalSalman,Maalee Al Mheidat, Mohammad Al Qudah
الملخص العربي
We formulate an explicit form of degree-ordered system of bivariate generalized Chebyshev Koornwinder’s type polynomials 𝕌(γ,Μ,Ν)n,r,d(u,v,w), γ > −1 in Bézer form over a triangular domain T. These polynomials form an orthogonal system with respect to the generalized measure 2π1−x2⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√+Μδ−1+Nδ1 where M, N ≥ 0 and δx is a singular Dirac measure. Then, we study cu-bature formulas to approximate double integrals for bivariate generalized Chebyshev Koornwinder’s type polynomials, 𝕌(γ,Μ,Ν)n,r,d(U) over T.
الملخص الانجليزي
We formulate an explicit form of degree-ordered system of bivariate generalized Chebyshev Koornwinder’s type polynomials 𝕌(γ,Μ,Ν)n,r,d(u,v,w), γ > −1 in Bézer form over a triangular domain T. These polynomials form an orthogonal system with respect to the generalized measure 2π1−x2⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√+Μδ−1+Nδ1 where M, N ≥ 0 and δx is a singular Dirac measure. Then, we study cu-bature formulas to approximate double integrals for bivariate generalized Chebyshev Koornwinder’s type polynomials, 𝕌(γ,Μ,Ν)n,r,d(U) over T.
خلدون محمد حمود عيال سلمان | khaldoun ayyalsalman | 909