{"product_id":"9783540577058","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eTotik, Vilmos\u003c\/h2\u003e \u003cp\u003eA new construction is given for approximating a logarithmic\npotential by a  discrete one. This yields a new approach to\napproximation with weighted     polynomials of the form\nw\"n\"(\" \"= uppercase)P\"n\"(\" \"= uppercase). The new   technique\nsettles several open problems, and it leads to a simple\nproof for the strong asymptotics on some L p(uppercase)\nextremal problems on the  real line with exponential weights,\nwhich, for the case p=2, are equivalent to power- type\nasymptotics for the leading coefficients of                  the\ncorresponding orthogonal polynomials. The method is also\nmodified toyield (in a sense) uniformly good approximation\non the whole support. This  allows one to deduce strong\nasymptotics in some L p(uppercase) extremal     problems with\nvarying weights. Applications are given, relating to          fast\ndecreasing polynomials, asymptotic behavior of                         orthogonal\npolynomials and multipoint Pade approximation. The               approach\nis potential-theoretic, but the text is self-contained.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1994-02-28\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540577058\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/BFb0076133\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 118\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369790627980,"sku":"9783540577058","price":35.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540577058.jpg?v=1772802928","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540577058","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}