Add to ORKGAbstractWe study best approximation to functions in Hardy H2(D) by two classes of functions of which one is n-partial fractions with poles outside the closed unit disc and the other is n-Blaschke forms. Through the equal relationship between the two classes we obtain the existence of the minimizers in both classes. The algorithm for the minimizers for small orders are practical
AbstractIn this paper we establish the fundamental properties of concentration at a radius for funct...
AbstractIn 1934, Walsh noted that the Taylor polynomial of degree n can be obtained by taking the li...
44 pages, 5 figuresLet f be holomorphically continuable over the complex plane except for finitely m...
We propose a practical algorithm of best rational approximation of a given order to a function in th...
Abstract. We describe the inner functions Θ such that ‖1 + Θf‖pHp ≥ 1 − |Θ(0)|2 for all p> 0 and ...
AbstractThe error of the best approximation of functions ƒ ϵ H∞ on the basis of given Hermitian data...
In Press. This is the corrected proof as pubished online by the journalInternational audienceWe deri...
AbstractThe main result concerns rational approximations to Markov-Stieltjes functions in the dual s...
summary:Let $\xi=[a_0;a_1,a_2,\dots,a_i,\dots]$ be an irrational number in simple continued fraction...
International audienceWe explicitly determine the best uniform polynomial approximation p∗n−1 to a c...
The book incorporates research papers and surveys written by participants ofan International Scienti...
AbstractWe explicitly determine the best uniform polynomial approximation pn−1∗ to a class of ration...
AbstractWe prove a de Montessus de Ballore type theorem for rational functions Rnq of type (n, q) fo...
AbstractFor best polynomial approximation, we prove that every Hardy space Hp, p ≠ 2, for the unit d...
An important aspect of Diophantine Approximation deals with the problem of approximating real or com...
AbstractIn this paper we establish the fundamental properties of concentration at a radius for funct...
AbstractIn 1934, Walsh noted that the Taylor polynomial of degree n can be obtained by taking the li...
44 pages, 5 figuresLet f be holomorphically continuable over the complex plane except for finitely m...
We propose a practical algorithm of best rational approximation of a given order to a function in th...
Abstract. We describe the inner functions Θ such that ‖1 + Θf‖pHp ≥ 1 − |Θ(0)|2 for all p> 0 and ...
AbstractThe error of the best approximation of functions ƒ ϵ H∞ on the basis of given Hermitian data...
In Press. This is the corrected proof as pubished online by the journalInternational audienceWe deri...
AbstractThe main result concerns rational approximations to Markov-Stieltjes functions in the dual s...
summary:Let $\xi=[a_0;a_1,a_2,\dots,a_i,\dots]$ be an irrational number in simple continued fraction...
International audienceWe explicitly determine the best uniform polynomial approximation p∗n−1 to a c...
The book incorporates research papers and surveys written by participants ofan International Scienti...
AbstractWe explicitly determine the best uniform polynomial approximation pn−1∗ to a class of ration...
AbstractWe prove a de Montessus de Ballore type theorem for rational functions Rnq of type (n, q) fo...
AbstractFor best polynomial approximation, we prove that every Hardy space Hp, p ≠ 2, for the unit d...
An important aspect of Diophantine Approximation deals with the problem of approximating real or com...
AbstractIn this paper we establish the fundamental properties of concentration at a radius for funct...
AbstractIn 1934, Walsh noted that the Taylor polynomial of degree n can be obtained by taking the li...
44 pages, 5 figuresLet f be holomorphically continuable over the complex plane except for finitely m...