{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:03:41Z","timestamp":1760058221709,"version":"build-2065373602"},"reference-count":6,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T00:00:00Z","timestamp":1742169600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Start Research Fund of North China University of Technology","award":["110051360002"],"award-info":[{"award-number":["110051360002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we construct an optimal quadrature formula in the sense of Sard by Sobolev\u2019s method in the W2(7,0) space. We give explicit expressions for the corresponding optimal coefficients. This formula is exact for exponentional\u2013trigonometric functions.<\/jats:p>","DOI":"10.3390\/axioms14030220","type":"journal-article","created":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T06:36:23Z","timestamp":1742193383000},"page":"220","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Calculation of Coefficients of the Optimal Quadrature Formulas in W2(7,0) Space"],"prefix":"10.3390","volume":"14","author":[{"given":"Ying","family":"Yang","sequence":"first","affiliation":[{"name":"College of Science, North China University of Techology, Beijing 100144, China"}]},{"given":"Xuehua","family":"Li","sequence":"additional","affiliation":[{"name":"College of Science, North China University of Techology, Beijing 100144, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1066","DOI":"10.1007\/s10114-021-9506-6","article-title":"Construction of Optimal Quadrature Formulas Exact for Exponentional-trigonometric Functions by Sobolev\u2019s Method","volume":"37","author":"Boltaev","year":"2021","journal-title":"Acta Math. Sin."},{"key":"ref_2","first-page":"35","article-title":"About coefficients and order of convergence of the optimal quadrature formula","volume":"2","author":"Boltaev","year":"2014","journal-title":"Am. J. Numer. Anal."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1007\/s00211-006-0032-3","article-title":"Optimal quadrature problem on classes defined by kernels satisfying certain oscillation properties","volume":"105","author":"Fang","year":"2006","journal-title":"Numer. Math."},{"key":"ref_4","first-page":"67","article-title":"Computation of coefficients of optimal quadrature formulas in the space W2(m,m \u2212 1)(0, 1)","volume":"3","author":"Shadimetov","year":"2004","journal-title":"Uzbek. Math. Zh."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"782","DOI":"10.1007\/s10958-022-06035-z","article-title":"Construction of optimal interpolation formulas in the Sobolev space","volume":"264","author":"Shadimetov","year":"2002","journal-title":"J. Math. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"020030","DOI":"10.1063\/5.0056962","article-title":"Optimal quadrature formulas with derivatives in a periodic space","volume":"2356","author":"Shadimetov","year":"2021","journal-title":"AIP Conf. Proc."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/3\/220\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T16:54:55Z","timestamp":1760028895000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/3\/220"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,17]]},"references-count":6,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2025,3]]}},"alternative-id":["axioms14030220"],"URL":"https:\/\/doi.org\/10.3390\/axioms14030220","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2025,3,17]]}}}