QUADRATURE FORMULAS FOR SINGULAR INTEGRALS CONTAINING THE VALUES OF A FUNCTION AND ITS DERIVATIVES

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Abstract

Quadrature formulas for singular integrals on the integration interval [−1, 1] with certain weight functions

About the authors

Sh. S. Khubezhty

K. L. Khetagurov North Ossetian State University; Southern Mathematical Institute, branch of Vladikavkaz Scientific Center, RAS; Financial University under the Government of the Russian Federation

Email: shalva57@rambler.ru
Vladikavkaz branch, Republic of North Ossetia – Alania; Vladikavkaz branch, Republic of North Ossetia – Alania; Vladikavkaz branch, Republic of North Ossetia – Alania

L. Yu. Plieva

K. L. Khetagurov North Ossetian State University; Southern Mathematical Institute, branch of Vladikavkaz Scientific Center, RAS; Financial University under the Government of the Russian Federation

Email: plieva-21@mail.ru
Vladikavkaz branch, Republic of North Ossetia – Alania; Vladikavkaz branch, Republic of North Ossetia – Alania; Vladikavkaz branch, Republic of North Ossetia – Alania

References

  1. Гончаров В. Л. Теория интерполирования и приближения функции. М-Л, РТТН, 1954. 328 с.
  2. Крылов В. И. Приближенное вычисление интегралов. М.: Наука, 1967. 500 с.
  3. Хубежты Ш. С. Квадратурные формулы для сингулярных интегралов и некоторые их применения. Владикавказ:ЮМИВНЦ РАН, 2011. 235 с.
  4. Лифанов И. К. Метод сингулярных интегральных уравнений и численный эксперимент. М.: ТОО “Янус”. 1995. – 520 с.

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