AbstractThe growth of the Jacobi polynomials Pn(k,β)(1-2θ2) is studied as n and k are simultaneously increased along lines in the kn plane with n integral. In particular, we apply a correction to a result of Chen and Ismail to show that for 0<θ<1, θanPn(α+an,β)(1-2θ2) decays exponentially as n→∞ when a>2θ/(1-θ). For -1<a<2θ/(1-θ), the decay is shown to be O(n-1/2)
AbstractLet 0 < p < ∞ and ϵn = |an − a/2| + |bn − b| → 0. define a polynomial sequence {pn} by the r...
Abstract. Bernstein’s inequality for Jacobi polynomials P (α,β)n, established in 1987 by P. Baratell...
AbstractWe give explicitly the recurrence coefficients in the three term recurrence relation of some...
AbstractThe growth of the Jacobi polynomials Pn(k,β)(1-2θ2) is studied as n and k are simultaneously...
AbstractDenote by xnk(α,β), k=1,…,n, the zeros of the Jacobi polynomial Pn(α,β)(x). It is well known...
We are interested in the asymptotic behavior of orthogonal polynomials of the generalized Jacobi typ...
Denote by x(nk)(alpha, beta), k = 1...., n, the zeros of the Jacobi polynornial P-n((alpha,beta)) (x...
First Online: 28 October 2015, Issue August 2016We are interested in the asymptotic behavior of orth...
AbstractLet Pk(α,β)(x) be an orthonormal Jacobi polynomial of degree k. We will establish the follow...
Asymptotic approximations of Jacobi polynomials are given for large values of the β-parameter and of...
AbstractDenote by xn,k(α,β) and xn,k(λ)=xn,k(λ−1/2,λ−1/2) the zeros, in decreasing order, of the Jac...
This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expa...
AbstractFor expansion by Jacobi polynomials we relate smoothness given by appropriate K-functionals ...
AbstractUniform asymptotic properties of the classical Jacobi polynomials have been studied via vari...
AbstractA remarkable inequality, with utterly explicit constants, established by Erdélyi, Magnus, an...
AbstractLet 0 < p < ∞ and ϵn = |an − a/2| + |bn − b| → 0. define a polynomial sequence {pn} by the r...
Abstract. Bernstein’s inequality for Jacobi polynomials P (α,β)n, established in 1987 by P. Baratell...
AbstractWe give explicitly the recurrence coefficients in the three term recurrence relation of some...
AbstractThe growth of the Jacobi polynomials Pn(k,β)(1-2θ2) is studied as n and k are simultaneously...
AbstractDenote by xnk(α,β), k=1,…,n, the zeros of the Jacobi polynomial Pn(α,β)(x). It is well known...
We are interested in the asymptotic behavior of orthogonal polynomials of the generalized Jacobi typ...
Denote by x(nk)(alpha, beta), k = 1...., n, the zeros of the Jacobi polynornial P-n((alpha,beta)) (x...
First Online: 28 October 2015, Issue August 2016We are interested in the asymptotic behavior of orth...
AbstractLet Pk(α,β)(x) be an orthonormal Jacobi polynomial of degree k. We will establish the follow...
Asymptotic approximations of Jacobi polynomials are given for large values of the β-parameter and of...
AbstractDenote by xn,k(α,β) and xn,k(λ)=xn,k(λ−1/2,λ−1/2) the zeros, in decreasing order, of the Jac...
This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expa...
AbstractFor expansion by Jacobi polynomials we relate smoothness given by appropriate K-functionals ...
AbstractUniform asymptotic properties of the classical Jacobi polynomials have been studied via vari...
AbstractA remarkable inequality, with utterly explicit constants, established by Erdélyi, Magnus, an...
AbstractLet 0 < p < ∞ and ϵn = |an − a/2| + |bn − b| → 0. define a polynomial sequence {pn} by the r...
Abstract. Bernstein’s inequality for Jacobi polynomials P (α,β)n, established in 1987 by P. Baratell...
AbstractWe give explicitly the recurrence coefficients in the three term recurrence relation of some...
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