O‘zbekiston matematika jurnali 69-том 4-нөмір (2025) · 15-21-беттер

Optimal approximation techniques for solving Hadamard type integral equations

Akhmedov, Dilshod, Pirnapasov, Sardor

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Аңдатпа

This paper discusses the frequent occurrence of the Hadamard type integral equation of the first kind in solving problems in aerodynamics, fluid dynamics, wave propagation theory, and ecology. Since the exact solution of this equation is also expressed by an integral, the problem of constructing an optimal quadrature formula for its approximate calculation is considered. The analytical form of the coefficients of the optimal quadrature formula is found.

Cauchy type singular integral, quadrature formula, error functional, extremal function, optimal coefficients

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Дәйексөз алу

APA 7 
Akhmedov, Dilshod & Pirnapasov, Sardor (2025). Optimal approximation techniques for solving Hadamard type integral equations. O‘zbekiston matematika jurnali, 69(4), 15-21.
GOST R 7.0.5 
Akhmedov, Dilshod, Pirnapasov, Sardor Optimal approximation techniques for solving Hadamard type integral equations // O‘zbekiston matematika jurnali. 2025. Т. 69. № 4. С. 15-21.
BibTeX 
@article{dilshod2025,
  author  = {Akhmedov, Dilshod and Pirnapasov, Sardor},
  title   = {Optimal approximation techniques for solving Hadamard type integral equations},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {4},
  pages   = {15-21}
}
RIS 
TY  - JOUR
AU  - Akhmedov, Dilshod
AU  - Pirnapasov, Sardor
TI  - Optimal approximation techniques for solving Hadamard type integral equations
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 4
SP  - 15
EP  - 21
ER  -