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

Akhmedov D.M.

O‘zbekiston matematika jurnali · 2025-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarAkhmedov D.M.
JurnalO‘zbekiston matematika jurnali
Nashr sanasi2025-09-06
Jild69
Son3
Betlar15-24
DOI10.29229/uzmj.2025-3-2

Kalit so‘zlar

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

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