AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuous and increasing on I, with limit ∞ at d. We obtain further bounds on the orthonormal polynomials associated with the weight Wρ2, finer spacing on their zeros, and estimates of their associated fundamental polynomials of Lagrange interpolation. In addition, we obtain weighted Markov and Bernstein inequalities
AbstractPolynomial moments are often used for the computation of Gauss quadrature to stabilize the n...
AbstractLet Tn be the set of all trigonometric polynomials of degree at most n. Denote by Φ+ the cla...
In the present work we prove some direct theorems of the approximation theory in the weighted Orlicz...
AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuou...
AbstractLet I be a finite or infinite interval, and let W:I→(0,∞). Assume that W2 is a weight, so th...
AbstractWe establish a first-order asymptotic for the entropy integrals∫Ipn2(logpn2)W2and∫Ipn2(log(p...
AbstractLet Sn[f] be the nth partial sum of the orthonormal polynomials expansion with respect to a ...
AbstractThis paper gives upper and lower bounds of the Christoffel-type functions λjn(Wm,m;x),j=m-2,...
AbstractWe obtain estimates for Christoffel functions and orthogonal polynomials for even weights W:...
AbstractThere is a series of publications which have considered inequalities of Markov–Bernstein–Nik...
AbstractLet w≔exp(−Q), where Q is of faster than smooth polynomial growth at ∞, for example, wk,α(x)...
AbstractThis paper gives the estimates of the distance between two consecutive zeros of the nth m-or...
AbstractDenote by πn the set of all real algebraic polynomials of degree at most n and let Un≔{e-x2p...
AbstractWe study the behavior of the Fourier sums in orthonormal polynomial systems, related to expo...
AbstractLetLn(f;x) be the Lagrange interpolation polynomial tofat the zeros of the orthonormal polyn...
AbstractPolynomial moments are often used for the computation of Gauss quadrature to stabilize the n...
AbstractLet Tn be the set of all trigonometric polynomials of degree at most n. Denote by Φ+ the cla...
In the present work we prove some direct theorems of the approximation theory in the weighted Orlicz...
AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuou...
AbstractLet I be a finite or infinite interval, and let W:I→(0,∞). Assume that W2 is a weight, so th...
AbstractWe establish a first-order asymptotic for the entropy integrals∫Ipn2(logpn2)W2and∫Ipn2(log(p...
AbstractLet Sn[f] be the nth partial sum of the orthonormal polynomials expansion with respect to a ...
AbstractThis paper gives upper and lower bounds of the Christoffel-type functions λjn(Wm,m;x),j=m-2,...
AbstractWe obtain estimates for Christoffel functions and orthogonal polynomials for even weights W:...
AbstractThere is a series of publications which have considered inequalities of Markov–Bernstein–Nik...
AbstractLet w≔exp(−Q), where Q is of faster than smooth polynomial growth at ∞, for example, wk,α(x)...
AbstractThis paper gives the estimates of the distance between two consecutive zeros of the nth m-or...
AbstractDenote by πn the set of all real algebraic polynomials of degree at most n and let Un≔{e-x2p...
AbstractWe study the behavior of the Fourier sums in orthonormal polynomial systems, related to expo...
AbstractLetLn(f;x) be the Lagrange interpolation polynomial tofat the zeros of the orthonormal polyn...
AbstractPolynomial moments are often used for the computation of Gauss quadrature to stabilize the n...
AbstractLet Tn be the set of all trigonometric polynomials of degree at most n. Denote by Φ+ the cla...
In the present work we prove some direct theorems of the approximation theory in the weighted Orlicz...