FURE INTEGRALLARINI YAQINLASHTIRISH
Keywords:
Furye almashtirish, kvadratur, kubatur, integral, taqribiy hisoblash, optimalAbstract
ularning sistemalariga keltiriladi. Bunday tenglamalarni yechish uchun aniq integralni hisoblashga to‘g‘ri keladi. Bunday integrallarni katta aniqlikda taqribiy hisoblash usullarini ishlab chiqish hisoblash matematikasining dolzarb masalalaridan biridir. Integrallarni taqribiy hisoblashning universal usuli kvadratur va kubatur algebraik, ehtimollar nazariyasi, nazariy-sonli va funksional formulalardan foydalanishdir.
References
Buzug T. M. Computed Tomography from Photon Statistics to Modern Cone-Beam CT, Springer, Berlin, 2008.
Feeman T. G. The Mathematics of Medical Imaging, A Beginner’s Guide, second ed., Springer, 2015.
Kak A. C., Slaney M. Principles of Computerized Tomographic Imaging, IEEE Press, New York, 1988.
Filon L. N. G. On a quadrature formula for trigonometric integrals, Proc. Roy. Soc. Edinburgh 49 (1928) 38-47.
Shadimetov Kh.M. On an optimal quadrature formula, Uzbek Math. Zh. (3) (1998) 90-98.
Shadimetov Kh.M. Weight optimal cubature formulas in Sobolev’s periodic space, Siberian J. Numer. Math. -Novosibirsk 2 (1999) 185-196.
Nurmatov, Z., To‘rayev, D., & Pirimova, F. (2023). TIXONOV BO ‘YICHA KORREKTLIK VA KORREKTLIK TO ‘PLAMI. NORMAL YECHIMNI TOPISHNING REGULYARLASHTIRISH USULI. Евразийский журнал академических исследований, 3(5 Part 3), 28-37.
Якубов, С. Х., Хамраев, А. А., Хушбоков, И. У., & Нурматов, З. О. (2022). АЛГОРИТМИЗАЦИЯ САПР ОПТИМИЗАЦИИ ТОНКОСТЕННЫХ ЭЛЕМЕНТОВ ИНЖЕНЕРНЫХ КОНСТРУКЦИЙ. Universum: технические науки, (11-1 (104)), 53-59.
Hayotov A.R., Jeon S.M., Shadimetov Kh.M. Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction, J. Comput. Appl. Math. 388 (2021) 113313.
Соболев С.Л. Введение в теорию кубатурных формул. – М.: Наука, 1974. - 808 с.
Sobolev S.L., Vaskevich V.L. The Theory of Cubature Formulas, Kluwer Academic Publishers Group, Dordrecht, 1997.
Begaliyevich, N. C., Obidjonovich, N. Z., & Bahodir og’li, A. O. (2022). SOLVING MULTIDIMENSIONAL PROBLEMS WITH A WEAK APPROXIMATION METHOD. Galaxy International Interdisciplinary Research Journal, 10(5), 949-955.
Якубов, С. Х., & Хушвоков, И. У. (2022). Вычислительный эксперимент по расчету оптимизации арок по весу. Universum: технические науки, (6-1
(99)), 33-37.
Shamsiddinovich, M. R., & Obidjonovich, Z. N. (2021). Advantages and Improvements of E-Textbook Teaching of Computer Science in General Secondary Educatin. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 2(12), 71-74.
