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

Authors

  • Akhmedov D.M. Author

DOI:

https://doi.org/10.29229/uzmj.2025-3-2

Keywords:

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

Abstract

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.

Published

2025-09-06

Issue

Vol. 69 No. 3 (2025): Uzbek Mathematical Journal

Section

Articles

How to Cite

Construction of optimal quadrature formulas  for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space. (2025). Uzbek Mathematical Journal, 69(3), 15-24. https://doi.org/10.29229/uzmj.2025-3-2