{"product_id":"totik-vilmos-weighted-approximation-with-varying-weight-9783540577058","title":"Weighted Approximation with Varying Weight","description":"A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w\"n\"(\" \"= uppercase)P\"n\"(\" \"= uppercase). The new technique settles several open problems, and it leads to a simple proof for the strong asymptotics on some L p(uppercase) extremal problems on the real line with exponential weights, which, for the case p=2, are equivalent to power- type asymptotics for the leading coefficients of the corresponding orthogonal polynomials. The method is also modified toyield (in a sense) uniformly good approximation on the whole support. This allows one to deduce strong asymptotics in some L p(uppercase) extremal problems with varying weights. Applications are given, relating to fast decreasing polynomials, asymptotic behavior of orthogonal polynomials and multipoint Pade approximation. The approach is potential-theoretic, but the text is self-contained.","brand":"Springer","offers":[{"title":"Default Title","offer_id":53636719346006,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0925\/5829\/5382\/files\/product_image_9783540577058_1_051def16-61a7-4552-b539-932a9fdec8aa.jpg?v=1779878207","url":"https:\/\/www.momoxbooks.com\/products\/totik-vilmos-weighted-approximation-with-varying-weight-9783540577058","provider":"momoxbooks","version":"1.0","type":"link"}