Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space
The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2024-01-01
|
| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_04016.pdf |
| _version_ | 1797213161486548992 |
|---|---|
| author | Bozarov Bakhromjon Daliyev Bakhtiyor Tukxtasinov Dadakhon Nasriddinov Otadavlat Ruzimatova Makhfuza Botirova Nasiba |
| author_facet | Bozarov Bakhromjon Daliyev Bakhtiyor Tukxtasinov Dadakhon Nasriddinov Otadavlat Ruzimatova Makhfuza Botirova Nasiba |
| author_sort | Bozarov Bakhromjon |
| collection | DOAJ |
| description | The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in different classes of functions, as well as the assessment of their errors, is the goal of this work. |
| first_indexed | 2024-04-24T10:53:53Z |
| format | Article |
| id | doaj.art-117ecc80c76a45d7a85427e7bf9b0f90 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-04-24T10:53:53Z |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-117ecc80c76a45d7a85427e7bf9b0f902024-04-12T07:40:20ZengEDP SciencesE3S Web of Conferences2267-12422024-01-015080401610.1051/e3sconf/202450804016e3sconf_greenenergy2024_04016Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional spaceBozarov Bakhromjon0Daliyev Bakhtiyor1Tukxtasinov Dadakhon2Nasriddinov Otadavlat3Ruzimatova Makhfuza4Botirova Nasiba5Ferghana Branch of Tashkent University of Information TechnologyFerghana Branch of Tashkent University of Information TechnologyFerghana Branch of Tashkent University of Information TechnologyFerghana Branch of Tashkent University of Information TechnologyFerghana Branch of Tashkent University of Information TechnologyFerghana Branch of Tashkent University of Information TechnologyThe development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in different classes of functions, as well as the assessment of their errors, is the goal of this work.https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_04016.pdfcubature formulasquadrature formulaserror functionalerror functional normoptimal coefficients |
| spellingShingle | Bozarov Bakhromjon Daliyev Bakhtiyor Tukxtasinov Dadakhon Nasriddinov Otadavlat Ruzimatova Makhfuza Botirova Nasiba Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space E3S Web of Conferences cubature formulas quadrature formulas error functional error functional norm optimal coefficients |
| title | Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space |
| title_full | Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space |
| title_fullStr | Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space |
| title_full_unstemmed | Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space |
| title_short | Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space |
| title_sort | optimal cubature formulas for approximate integrals of functions defined on a sphere in three dimensional space |
| topic | cubature formulas quadrature formulas error functional error functional norm optimal coefficients |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_04016.pdf |
| work_keys_str_mv | AT bozarovbakhromjon optimalcubatureformulasforapproximateintegralsoffunctionsdefinedonasphereinthreedimensionalspace AT daliyevbakhtiyor optimalcubatureformulasforapproximateintegralsoffunctionsdefinedonasphereinthreedimensionalspace AT tukxtasinovdadakhon optimalcubatureformulasforapproximateintegralsoffunctionsdefinedonasphereinthreedimensionalspace AT nasriddinovotadavlat optimalcubatureformulasforapproximateintegralsoffunctionsdefinedonasphereinthreedimensionalspace AT ruzimatovamakhfuza optimalcubatureformulasforapproximateintegralsoffunctionsdefinedonasphereinthreedimensionalspace AT botirovanasiba optimalcubatureformulasforapproximateintegralsoffunctionsdefinedonasphereinthreedimensionalspace |