Error estimates of Gaussian quadrature formulae with the third class of Bernstein-Szegő weights
2017 ◽
Vol 11
(2)
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pp. 451-469
Keyword(s):
For analytic functions we study the remainder terms of Gauss quadrature rules with respect to Bernstein-Szeg? weight functions w(t) = w?,?,?(t) = ?1+t/ 1-t/?(?-2?)t2+2?(?-?)t+?2+?2, t?(-1,1), where 0 < ? < ?, ??2?, ??? < ?-?, and whose denominator is an arbitrary polynomial of exact degree 2 that remains positive on [-1,1]. The subcase ?=1, ?= 2/(1+?), -1 < ? < 0 and ?=0 has been considered recently by M. M. Spalevic, Error bounds of Gaussian quadrature formulae for one class of Bernstein-Szeg? weights, Math. Comp., 82 (2013), 1037-1056.
2012 ◽
Vol 32
(4)
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pp. 1733-1754
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1995 ◽
Vol 65
(1-3)
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pp. 97-114
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1968 ◽
Vol 22
(101)
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pp. 82-82
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2012 ◽
Vol 218
(9)
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pp. 5746-5756
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2012 ◽
Vol 236
(15)
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pp. 3542-3555
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2020 ◽
Vol 53
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pp. 352-382
2016 ◽
Vol 57
(2)
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pp. 022105
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Keyword(s):