000 | 02928nam a22004815i 4500 | ||
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001 | 978-3-540-38857-9 | ||
003 | DE-He213 | ||
005 | 20160624101811.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1988 gw | s |||| 0|eng d | ||
020 |
_a9783540388579 _9978-3-540-38857-9 |
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024 | 7 |
_a10.1007/BFb0082413 _2doi |
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050 | 4 | _aQA297-299.4 | |
072 | 7 |
_aPBKS _2bicssc |
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072 | 7 |
_aMAT021000 _2bisacsh |
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072 | 7 |
_aMAT006000 _2bisacsh |
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082 | 0 | 4 |
_a518 _223 |
100 | 1 |
_aLubinsky, Doron S. _eauthor. |
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245 | 1 | 0 |
_aStrong Asymptotics for Extremal Polynomials Associated with Weights on ℝ _h[electronic resource] / _cby Doron S. Lubinsky, Edward B. Saff. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1988. |
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264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1988. |
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300 |
_aVIII, 156 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1305 |
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505 | 0 | _aNotation and index of notation -- Statement of main results -- Weighted polynomials and zeros of extremal polynomials -- Integral equations -- Polynomial approximation of potentials -- Infinite-finite range inequalities and their sharpness -- The largest zeros of extremal polynomials -- Further properties of Un, R(x) -- Nth root asymptotics for extremal polynomials -- Approximation by certain weighted polynomials, I -- Approximation by certain weighted polynomials, II -- Bernstein's formula and bernstein extremal polynomials -- Proof of the asymptotics for Enp(W) -- Proof of the asymptotics for the Lp extremal polynomials -- The case p=2 : Orthonormal polynomials. | |
520 | _a0. The results are consequences of a strengthened form of the following assertion: Given 0 <p<, f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e. > 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aNumerical analysis. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aNumerical Analysis. |
700 | 1 |
_aSaff, Edward B. _eauthor. |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540189589 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1305 |
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856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0082413 |
942 |
_2EBK923 _cEBK |
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999 |
_c30217 _d30217 |