O‘zbekiston matematika jurnali Том 69 № 3 (2025) · с. 15-24

Construction of optimal quadrature formulas  for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space

Akhmedov D.M.

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Аннотация

In the present paper in $L_2^{(m)}(-1,1)$  space an optimal quadrature formula is constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained.

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

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APA 7 
Akhmedov D.M. (2025). Construction of optimal quadrature formulas  for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space. O‘zbekiston matematika jurnali, 69(3), 15-24.
GOST R 7.0.5 
Akhmedov D.M. Construction of optimal quadrature formulas  for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space // O‘zbekiston matematika jurnali. 2025. Т. 69. № 3. С. 15-24.
BibTeX 
@article{d.m.2025,
  author  = {Akhmedov D.M.},
  title   = {Construction of optimal quadrature formulas  for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {3},
  pages   = {15-24}
}
RIS 
TY  - JOUR
AU  - Akhmedov D.M.
TI  - Construction of optimal quadrature formulas  for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 3
SP  - 15
EP  - 24
ER  -