Add to ORKG§1. Introduction Let A_ρ denote the collection of functions analytic in D_ρ:= {z:|z|<ρ} and having a singularity on the circle |z| =ρ. Next, for anyf(z)∈ A_ρ (ρ>1) and for any positive integer n, let p_(n_1)(z;f) denotethe Lagrange polynomial interpolation of f(z) in the n-th roots ofunity, and ...0421-3
Under the assumption that the function f is bounded on [- 1, 1] and analytic at x = 0 we prove the l...
From the Erdös-Turán theorem, it is known that if f is a continuous function on T={z:|z|=1} and L_n(...
Let Aρ denote the set of functions analytic in |z | < ρ but not on |z | ρ 1 < ρ < ∞. Wals...
§1 IntroductionLet A_p denote the collection of functions analytic in D_p:={z:丨z丨<p} and having a...
AbstractJ. L. Walsh showed that the differences of the partial sums of a function analytic only in a...
In this paper, a theorem of J. L. Walsh, on differences of polynomials interpolating in the roots of...
ABSTRACT. In this paper we discuss the Walsh overconvergence properties of polynomial interpolants i...
The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interp...
AbstractWe consider sqn roots of unity and define a class RσN*(Us, f) of rational functions which in...
Let Z(nk) = e(it)nk, 0 less-than-or-equal-to t(n0) < ... < t(nn) < 2pi , f a function in th...
AbstractUnder the assumption that the function ƒ is bounded on [−1, 1] and analytic at x = 0 we prov...
AbstractUnder the assumption that the function ƒ is bounded on [−1, 1] and analytic at x = 0 we prov...
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
Under the assumption that the function f is bounded on [-1, 1] and analytic at x = 0 we prove the lo...
Under the assumption that the function f is bounded on [-1, 1] and analytic at x = 0 we prove the lo...
Under the assumption that the function f is bounded on [- 1, 1] and analytic at x = 0 we prove the l...
From the Erdös-Turán theorem, it is known that if f is a continuous function on T={z:|z|=1} and L_n(...
Let Aρ denote the set of functions analytic in |z | < ρ but not on |z | ρ 1 < ρ < ∞. Wals...
§1 IntroductionLet A_p denote the collection of functions analytic in D_p:={z:丨z丨<p} and having a...
AbstractJ. L. Walsh showed that the differences of the partial sums of a function analytic only in a...
In this paper, a theorem of J. L. Walsh, on differences of polynomials interpolating in the roots of...
ABSTRACT. In this paper we discuss the Walsh overconvergence properties of polynomial interpolants i...
The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interp...
AbstractWe consider sqn roots of unity and define a class RσN*(Us, f) of rational functions which in...
Let Z(nk) = e(it)nk, 0 less-than-or-equal-to t(n0) < ... < t(nn) < 2pi , f a function in th...
AbstractUnder the assumption that the function ƒ is bounded on [−1, 1] and analytic at x = 0 we prov...
AbstractUnder the assumption that the function ƒ is bounded on [−1, 1] and analytic at x = 0 we prov...
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
Under the assumption that the function f is bounded on [-1, 1] and analytic at x = 0 we prove the lo...
Under the assumption that the function f is bounded on [-1, 1] and analytic at x = 0 we prove the lo...
Under the assumption that the function f is bounded on [- 1, 1] and analytic at x = 0 we prove the l...
From the Erdös-Turán theorem, it is known that if f is a continuous function on T={z:|z|=1} and L_n(...
Let Aρ denote the set of functions analytic in |z | < ρ but not on |z | ρ 1 < ρ < ∞. Wals...