Tetrational as special function.
The analytic -capacity and the Cauchy integral
The approximation of a polynomial's measure, with applications towards Jensen's theorem.
The Cauchy Kernel, the Szegö Kernel, and the Riemann Mapping Function.
The Degree of Approximation by Rational Functions with Fixed Poles.
The degree of convergence for entire functions of slow growth
The general complex case of the Bernstein-Nachbin approximation problem
We present a solution to the (strict) Bernstein-Nachbin approximation problem in the general complex case. As a corollary, we get proofs of the analytic, the quasi-analytic, and the bounded criteria for localizability in the general complex case. This generalizes the known results of the real or self-adjoint complex cases, in the same way that Bishop’s Theorem generalizes the Weierstrass-Stone Theorem. However, even in the real or self-adjoint complex cases, the results that we obtain are stronger...
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part I. The Error Analysis of the p-Version.
The Mergelyan-Bishop theorem in the case of mapping into homogeneous manifolds. II. Proof of the theorem and application.
The sharpness of convergence results for -Bernstein polynomials in the case
Due to the fact that in the case the -Bernstein polynomials are no longer positive linear operators on the study of their convergence properties turns out to be essentially more difficult than that for In this paper, new saturation theorems related to the convergence of -Bernstein polynomials in the case are proved.
The weighted BMO condition and a constructive description of classes of analytic functions satisfying this condition.
Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain.
Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method.
Thin sequences in the corona of H ∞
In this paper we consider several conditions for sequences of points in M(H ∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona of H ∞ is a thin sequence for H ∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H ∞ necessarily satisfy the same condition.
Tracking poles and representing Hankel operators directly from data.
Truncation Error Bounds for Modified Continued Fractions with Applications to Special Functions.
Tsuji points and conformal mapping