Sobolevning fazosida Abel umumlashgan integral tenglamasini yechish uchun optimal koeffitsiyentlar va optimal kvadratur formulaning normasi

Optimal koeffitsiyentlar va optimal kvadratur formulaning normasi

Authors

  • Бахтиёр Далиев ТАТУФФ

Keywords:

Integral tenglama, optimal kvadratur formula, xatolik funksionali, norma, optimal koeffitsiyentlar.

Abstract

In this paper, a composite optimal quadrature formula is constructed for an approximate solution of the generalized integral Abel equation in the Sobolev space. The optimal coefficients of this quadrature formula have been found. In addition, the norm of the constructed composite optimal quadrature formula is found.

References

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SHadimetov X.M. Optimalg’nqe reshetchatqe kvadraturnqe i kubaturnqe formulq v prostranstvax Soboleva. Tashkent, 2019, s.224.

Ivanov V.V. Ob optimalg’nqx metodov vqchisleniya singulyarnqx integralov. // DAN SSSR , 1972, t.204 № 1.

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Shadimetov, K., & Daliyev, B. (2021, July). Composite optimal formulas for approximate integration of weight integrals. In AIP Conference Proceedings (Vol. 2365, No. 1, p. 020025). AIP Publishing LLC.

Shadimetov, K. M., & Daliev, B. S. (2022). Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space. Results in Applied Mathematics, 15, 100276.

Published

2024-06-05

How to Cite

Далиев, Б. (2024). Sobolevning fazosida Abel umumlashgan integral tenglamasini yechish uchun optimal koeffitsiyentlar va optimal kvadratur formulaning normasi: Optimal koeffitsiyentlar va optimal kvadratur formulaning normasi. The Descendants of Al-Fargani, 1(2), 46–53. Retrieved from https://al-fargoniy.uz/index.php/journal/article/view/374

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