{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T11:03:30Z","timestamp":1776769410546,"version":"3.51.2"},"reference-count":14,"publisher":"American Mathematical Society (AMS)","issue":"216","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    The main purpose of this paper is the construction of explicit Gauss-Tur\u00e1n quadrature formulas: they are relative to some classes of weight functions, which have the peculiarity that the corresponding\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"s\">\n                        <mml:semantics>\n                          <mml:mi>s<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">s<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -orthogonal polynomials, of the same degree, are independent of\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"s\">\n                        <mml:semantics>\n                          <mml:mi>s<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">s<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    . These weights too are introduced and discussed here. Moreover, highest-precision quadratures for evaluating Fourier-Chebyshev coefficients are given.\n                  <\/p>","DOI":"10.1090\/s0025-5718-96-00769-7","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:44Z","timestamp":1027707284000},"page":"1567-1581","source":"Crossref","is-referenced-by-count":19,"title":["On weight functions which admit explicit Gauss-Tur\u00e1n quadrature formulas"],"prefix":"10.1090","volume":"65","author":[{"given":"Laura","family":"Gori","sequence":"first","affiliation":[]},{"given":"Charles","family":"Micchelli","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1996]]},"reference":[{"key":"1","first-page":"229","article-title":"Convergence in the mean and almost everywhere of Fourier series in polynomials that are orthogonal on an interval","volume":"95(137)","author":"Badkov, V. 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