Аннотация:
В настоящей статье рассмотрена проблема построения оптимальных квадратурных формул в смысле Сарда в пространстве L(m)2(0,1). Здесь квадратурная сумма состоит из значений подынтегральной функции в узловых точках и значений первой, третьей и пятой производных подынтегральной функции в концевых точках интервала инегрирования. Найдены коэффициенты оптимальных квадратурных формул и вычислена норма оптимального функционала погрешности для любого натурального N и для любого m≥6 с использованием метода Соболева, основанном на дискретном аналоге дифференциального оператора d2m/dx2m. В частности, для m=6,7 оптимальность классической квадратурной формулы Эйлера–Маклорена доказана. Начиная с m=8 получены новые оптимальные квадратурные формулы.
Образец цитирования:
Kholmat M. Shadimetov, Farhod A. Nuraliev, “Optimal formulas of numerical integration with derivatives in Sobolev space”, Журн. СФУ. Сер. Матем. и физ., 11:6 (2018), 764–775
\RBibitem{ShaNur18}
\by Kholmat~M.~Shadimetov, Farhod~A.~Nuraliev
\paper Optimal formulas of numerical integration with derivatives in Sobolev space
\jour Журн. СФУ. Сер. Матем. и физ.
\yr 2018
\vol 11
\issue 6
\pages 764--775
\mathnet{http://mi.mathnet.ru/jsfu725}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-6-764-775}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000452216700012}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jsfu725
https://www.mathnet.ru/rus/jsfu/v11/i6/p764
Эта публикация цитируется в следующих 17 статьяx:
Kholmat Shadimetov, Fotima Davlatova, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 060023
Kholmat Shadimetov, Farhod Nuraliev, Otajon Toshboev, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 060041
Rashidjon Rasulov, Diyorakhon Mahkamova, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 060042
Gaybulla Ismatullaev, Ravshan Mirzakabilov, Rozik Karimov, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 060040
Kholmat Shadimetov, Gayratjon Akhmadaliev, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 060017
Kholmat Shadimetov, Javlon Davronov, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 060039
Kholmat Shadimetov, Ravshan Mirzakabilov, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 060031
Khalmatvay Shadimetov, Farxod Nuraliev, Shaxobiddin Kuziev, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 3147, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 2024, 030030
Х. М. Шадиметов, Н. Х. Маматова, “Составные кубатурные формулы на решетке”, Изв. вузов. Матем., 2023, № 11, 59–74
Abdullo Hayotov, Umedjon Khayriev, Farrukhbek Azatov, NOVEL TRENDS IN RHEOLOGY IX, 2997, NOVEL TRENDS IN RHEOLOGY IX, 2023, 020050
Kh. M. Shadimetov, N. Kh. Mamatova, “Compound Cubature Formulas on a Lattice”, Russ Math., 67:11 (2023), 49
Farhod Nuraliev, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 020031
Abdullo Hayotov, Samandar Babaev, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 020021
Abdullo Hayotov, Rashidjon Rasulov, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 020035
Kholmat Shadimetov, Nilufar Mamatova, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 020030
Dilshod Akhmedov, Kholmat Shadimetov, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 020020
A. R. Hayotov, R. G. Rasulov, “The order of convergence of an optimal quadrature formula with derivative in the space W-2((2,1))”, Filomat, 34:11 (2020), 3835–3844
Цитирование в формате AMSBIB
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