Geodesic
Quadrature formulas for singular integrals with weight functions
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 56-62

Voir la notice de l'article provenant de la source Math-Net.Ru

We study singular integrals with weight functions and construct quadrature formulas for such integrals. Inversion formulas similar to the formulas for singular integrals with Chebyshev polynomials are proved. Application of obtained quadrature formulas to the numerical solution of singular integral equations are pointed out. 
@article{VMJ_2011_13_2_a5,
     author = {Sh. S. Khubezhty and L. Yu. Plieva and Z. V. Besaeva},
     title = {Quadrature formulas for singular integrals with weight functions},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {56--62},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a5/}
}
TY  - JOUR
AU  - Sh. S. Khubezhty
AU  - L. Yu. Plieva
AU  - Z. V. Besaeva
TI  - Quadrature formulas for singular integrals with weight functions
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2011
SP  - 56
EP  - 62
VL  - 13
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a5/
LA  - ru
ID  - VMJ_2011_13_2_a5
ER  - 
%0 Journal Article
%A Sh. S. Khubezhty
%A L. Yu. Plieva
%A Z. V. Besaeva
%T Quadrature formulas for singular integrals with weight functions
%J Vladikavkazskij matematičeskij žurnal
%D 2011
%P 56-62
%V 13
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a5/
%G ru
%F VMJ_2011_13_2_a5
Sh. S. Khubezhty; L. Yu. Plieva; Z. V. Besaeva. Quadrature formulas for singular integrals with weight functions. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 56-62. http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a5/