{"product_id":"weighted-approximation-with-varying-weight-von-vilmos-totik","title":"Weighted Approximation with Varying Weight","description":"A 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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540577058\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540577058","offer_id":39437423378525,"sku":"9783540577058","price":26.7,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/88c3a19a-05d3-4b25-ad3a-196319a829e6.jpg?v=1772258646","url":"https:\/\/shop.autorenwelt.de\/en\/products\/weighted-approximation-with-varying-weight-von-vilmos-totik","provider":"Autorenwelt Shop","version":"1.0","type":"link"}