03021nam 22005655 450 991030011250332120200704042758.03-319-72947-010.1007/978-3-319-72947-3(CKB)3840000000347793(MiAaPQ)EBC5295035(DE-He213)978-3-319-72947-3(PPN)224638815(EXLCZ)99384000000034779320180213d2018 u| 0engurcnu||||||||rdacontentrdamediardacarrierBounds and Asymptotics for Orthogonal Polynomials for Varying Weights /by Eli Levin, Doron S. Lubinsky1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (170 pages)SpringerBriefs in Mathematics,2191-81983-319-72946-2 Includes bibliographical references and index.Introduction -- Statement of Main Results -- Potential Theoretic Estimates -- Restricted Range Inequalities -- Bounds for Christoffel Functions -- Spacing of Zeros -- Bounds on Orthogonal Polynomials -- Markov-Bernstein Inequalities in L -- Discretization of Potentials -- Derivatives of Discretized Polynomials -- Weighted Polynomial Approximations -- Formulae Involving Bernstain-Szego Polynomials -- Asymptotics of Orthonormal Polynomials -- Further Bounds -- Universality Limits and Entropy Integrals.This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices. .SpringerBriefs in Mathematics,2191-8198AlgebraField theory (Physics)Approximation theoryField Theory and Polynomialshttps://scigraph.springernature.com/ontologies/product-market-codes/M11051Approximations and Expansionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12023Algebra.Field theory (Physics).Approximation theory.Field Theory and Polynomials.Approximations and Expansions.515.55Levin Eliauthttp://id.loc.gov/vocabulary/relators/aut768216Lubinsky Doron Sauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300112503321Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights1933895UNINA