Add to ORKGAbstract: In this paper, we obtain the lower bounds for the uniform norm of the polynomials orthonormal on the unit circle with respect to a continuous and positive weight. Our bounds are sharp and improve similar results obtained earlier by M. Ambroladze.Note: Research direction:Mathematical problems and theory of numerical method
The objective of this paper is to derive an intimate relationship among three important mathematical...
AbstractFor every normalized measure σ on the unit circle T let tσ(n) be the maximal integer t such ...
Abstract: The famous problem of V.A. Steklov is intimately related with the following extr...
AbstractThe known conditions due to G. Baxter, Ya. L. Geronimus, and B. L. Golinskii which guarantee...
AbstractLet W≔ e−Q, where Q: R → R is even, continuous in R, Q" is continuous in (0, ∞), and Q′ > 0 ...
Let , let be a continuous, nonnegative, and increasing function, and let be the orthonormal po...
Introduction Orthonormal polynomials on the unit circle T { C : are defined by n , #m ...
AbstractLet σ be a finite positive Borel measure supported on an arc γ of the unit circle, such that...
AbstractFormulas of Christoffel and Uvarov for changing the weight of real orthogonal polynomials by...
AbstractLet {Φn} be a system of monic polynomials orthogonal on the unit circle with respect to a po...
We study the inequality between the uniform norm of the derivative of an algebraic polynomial of deg...
AbstractThe objective of this paper is to derive an intimate relationship among three important math...
We consider generalized Jacobi weight functions w on the unit circle T, i.e. w is positive and smoot...
AbstractLet W := e−Q, where Q:R → R is even, and “smooth,” and of faster than polynomial growth at i...
AbstractFor a positive measure μ on the unit circle (Γ) in the complex plane, m points zj off Γ and ...
The objective of this paper is to derive an intimate relationship among three important mathematical...
AbstractFor every normalized measure σ on the unit circle T let tσ(n) be the maximal integer t such ...
Abstract: The famous problem of V.A. Steklov is intimately related with the following extr...
AbstractThe known conditions due to G. Baxter, Ya. L. Geronimus, and B. L. Golinskii which guarantee...
AbstractLet W≔ e−Q, where Q: R → R is even, continuous in R, Q" is continuous in (0, ∞), and Q′ > 0 ...
Let , let be a continuous, nonnegative, and increasing function, and let be the orthonormal po...
Introduction Orthonormal polynomials on the unit circle T { C : are defined by n , #m ...
AbstractLet σ be a finite positive Borel measure supported on an arc γ of the unit circle, such that...
AbstractFormulas of Christoffel and Uvarov for changing the weight of real orthogonal polynomials by...
AbstractLet {Φn} be a system of monic polynomials orthogonal on the unit circle with respect to a po...
We study the inequality between the uniform norm of the derivative of an algebraic polynomial of deg...
AbstractThe objective of this paper is to derive an intimate relationship among three important math...
We consider generalized Jacobi weight functions w on the unit circle T, i.e. w is positive and smoot...
AbstractLet W := e−Q, where Q:R → R is even, and “smooth,” and of faster than polynomial growth at i...
AbstractFor a positive measure μ on the unit circle (Γ) in the complex plane, m points zj off Γ and ...
The objective of this paper is to derive an intimate relationship among three important mathematical...
AbstractFor every normalized measure σ on the unit circle T let tσ(n) be the maximal integer t such ...
Abstract: The famous problem of V.A. Steklov is intimately related with the following extr...