Solution of parabolic radon transform with given weight function

Djaykov, G.M.

Ilim ha’m ja’miyet · 2023-yil

Annotatsiya

In this paper we consider the problem of integral geometry on a family of parabolic type with a weight function. An inversion formula for the Fourier image with respect to the first variable is obtained. A sequence of approximate solutions is constructed based on Tikhonov's regularization.

Maqola ma’lumotlari
MualliflarDjaykov, G.M.
JurnalIlim ha’m ja’miyet
NashriyotНукус давлат педагогика институти
ISSN2010-720x, 2181-1555
Nashr sanasi2023-08-23
Son3-1
Betlar10-12
TilIngliz
Ilmiy sohaFizika-matematika
Indeksga qo‘shilgan2026-08-26

Kalit so‘zlar

integral geometriya masalasi, yagonalik teoremasi, Tixonov regulyarizatsiyasi, turg‘un algoritm, Fure almashtirishi, задачи интегральной геометрии, теорема единственности, регуляризация Тихонова, устойчивый алгоритм, преобразование Фурье, integral geometry problems, uniqueness theorem, Tikhonov regularization, stable algorithm, Fourier transform

Ilmiy soha

Iqtibos keltirish

APADjaykov, G.M. (2023). SOLUTION OF PARABOLIC RADON TRANSFORM WITH GIVEN WEIGHT FUNCTION. Ilim ha’m ja’miyet, (3-1), 10-12. https://journal.ndpi.uz/index/article/view/2023-3-1-005
GOST (OAK)Djaykov, G.M. SOLUTION OF PARABOLIC RADON TRANSFORM WITH GIVEN WEIGHT FUNCTION // Ilim ha’m ja’miyet. – 2023. – № 3-1. – P. 10-12.
MLADjaykov, G.M. “SOLUTION OF PARABOLIC RADON TRANSFORM WITH GIVEN WEIGHT FUNCTION.” Ilim ha’m ja’miyet, (3-1), 10-12, 2023. https://journal.ndpi.uz/index/article/view/2023-3-1-005
ChicagoDjaykov, G.M. “SOLUTION OF PARABOLIC RADON TRANSFORM WITH GIVEN WEIGHT FUNCTION.” Ilim ha’m ja’miyet, (3-1), 10-12 (2023). https://journal.ndpi.uz/index/article/view/2023-3-1-005
HarvardDjaykov, G.M (2023) ‘SOLUTION OF PARABOLIC RADON TRANSFORM WITH GIVEN WEIGHT FUNCTION’, Ilim ha’m ja’miyet, (3-1), 10-12. https://journal.ndpi.uz/index/article/view/2023-3-1-005
BibTeX
@article{djaykovgm2023,
  title = {SOLUTION OF PARABOLIC RADON TRANSFORM WITH GIVEN WEIGHT FUNCTION},
  author = {Djaykov, G.M.},
  journal = {Ilim ha’m ja’miyet},
  year = {2023},
  number = {3-1},
  pages = {10-12},
  url = {https://journal.ndpi.uz/index/article/view/2023-3-1-005}
}

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