منابع مشابه
Summability Method of Jacobi Series
In this paper, an application to the approximation by wavelets has been obtained by using matrix-Cesàro (Λ · C1) method of Jacobi polynomials. The rapid rate of convergence of matrix-Cesàro method of Jacobi polynomials are estimated. The result of Theorem (6.1) of this research paper is applicable for avoiding the Gibbs phenomenon in intermediate levels of wavelet approximations. There are majo...
متن کاملA Study on Almost Matrix Summability of Fourier-jacobi Series
In this paper, a quite new theorem on almost summability of Fourier-Jacobi series has been established. Our theorem extends and generalizes all previously known results of this line of work. Full text
متن کاملWavelet Approximations using (Λ⋅C1) Matrix-Cesaro Summability Method of Jacobi Series
In this paper, an application to the approximation by wavelets has been obtained by using matrix-Cesaro (Λ⋅C1) method of Jacobi polynomials. The rapid rate of convergence of matrix-Cesaro method of Jacobi polynomials are estimated. The result of Theorem (6.1) of this research paper is applicable for avoiding the Gibbs phenomenon in intermediate levels of wavelet approximations. There are major ...
متن کاملSummability of Fourier Orthogonal Series for Jacobi Weight on a Ball in R
Fourier orthogonal series with respect to the weight function (1 − |x|2)μ−1/2 on the unit ball in Rd are studied. Compact formulae for the sum of the product of orthonormal polynomials in several variables and for the reproducing kernel are derived and used to study the summability of the Fourier orthogonal series. The main result states that the expansion of a continuous function in the Fourie...
متن کاملSummability of Fourier Orthogonal Series for Jacobi Weight Functions on the Simplex in R
We study the Fourier expansion of a function in orthogonal polynomial series with respect to the weight functions x α1−1/2 1 · · · xαd−1/2 d (1 − |x|1)αd+1−1/2 on the standard simplex Σd in Rd. It is proved that such an expansion is uniformly (C, δ) summable on the simplex for any continuous function if and only if δ > |α|1 + (d − 1)/2. Moreover, it is shown that (C, |α|1 + (d + 1)/2) means def...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1972
ISSN: 0021-9045
DOI: 10.1016/0021-9045(72)90004-4