Add to ORKGNecessary conditions for the weak convergence of Fourier series in orthogonal polynomials are given. It is shown that the partial sum operator associated with the Jacobi series is of restricted weak type, but not of weak type, for the endpoints of the mean convergence interval. © 1990
Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Snf denote...
We study the rate of convergence of Fourier series of orthogonal polynomials over an area inside and...
This book presents a systematic course on general orthogonal polynomials and Fourier series in ortho...
AbstractNecessary conditions for the weak convergence of Fourier series in orthogonal polynomials ar...
AbstractNecessary conditions for the weak convergence of Fourier series in orthogonal polynomials ar...
Mean convergence for series in Jacobi polynomials was first studied by Pollard in the 1940s, when he...
Lp convergence of Fourier expansions in orthogonal polynomials is studied for general (but around th...
Abstract. Let w(x) = (1−x)α(1+x)β be a Jacobi weight on the interval [−1, 1] and 1 < p < ∞. I...
Abstract. Let w(x) = (1−x)α(1+x)β be a Jacobi weight on the interval [−1, 1] and 1 < p < ∞. I...
Let J denote the Bessel function of order . The functions x--1 J+2n+1(x), n = 0, 1, 2, ..., form an ...
AbstractGivenα, β>−1, letpn(x)=p(α, β)n(x),n=0, 1, 2,… be the sequence of Jacobi polynomials orthono...
We study the uniform boundedness on some weighted L p spaces of the partial s...
Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Snf denote...
AbstractWe study the uniform boundedness on some weighted Lp spaces of the partial sum operators ass...
AbstractThe weak convergence of orthogonal polynomials is proved under conditions on the asymptotic ...
Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Snf denote...
We study the rate of convergence of Fourier series of orthogonal polynomials over an area inside and...
This book presents a systematic course on general orthogonal polynomials and Fourier series in ortho...
AbstractNecessary conditions for the weak convergence of Fourier series in orthogonal polynomials ar...
AbstractNecessary conditions for the weak convergence of Fourier series in orthogonal polynomials ar...
Mean convergence for series in Jacobi polynomials was first studied by Pollard in the 1940s, when he...
Lp convergence of Fourier expansions in orthogonal polynomials is studied for general (but around th...
Abstract. Let w(x) = (1−x)α(1+x)β be a Jacobi weight on the interval [−1, 1] and 1 < p < ∞. I...
Abstract. Let w(x) = (1−x)α(1+x)β be a Jacobi weight on the interval [−1, 1] and 1 < p < ∞. I...
Let J denote the Bessel function of order . The functions x--1 J+2n+1(x), n = 0, 1, 2, ..., form an ...
AbstractGivenα, β>−1, letpn(x)=p(α, β)n(x),n=0, 1, 2,… be the sequence of Jacobi polynomials orthono...
We study the uniform boundedness on some weighted L p spaces of the partial s...
Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Snf denote...
AbstractWe study the uniform boundedness on some weighted Lp spaces of the partial sum operators ass...
AbstractThe weak convergence of orthogonal polynomials is proved under conditions on the asymptotic ...
Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Snf denote...
We study the rate of convergence of Fourier series of orthogonal polynomials over an area inside and...
This book presents a systematic course on general orthogonal polynomials and Fourier series in ortho...