An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity
For classes of functions given on the segment [0,1], we obtain optimal quadrature formulas for singular integrals with fixed singularity. The obtained results are extended to the case of two-dimensional integrals.
Saved in:
| Date: | 1995 |
|---|---|
| Main Authors: | Shabozov, M. Sh., Шабозов, М. Ш. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5531 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Quasiwidths and optimization of methods of mixed approximation of multidimensional singular integrals with kernels of hilbert type
by: Vakarchuk, S. B., et al.
Published: (1996)
by: Vakarchuk, S. B., et al.
Published: (1996)
On quadrature and cubature formulas for a class of multiple singular integrals
by: Akimenko, V. V., et al.
Published: (1997)
by: Akimenko, V. V., et al.
Published: (1997)
Best approximation and best unilateral approximation of the kernel of a biharmonic equation and optimal renewal of the values of operators
by: Shabozov, M. Sh., et al.
Published: (1995)
by: Shabozov, M. Sh., et al.
Published: (1995)
On optimization of weight quadrature formulas
by: Babenko, V. F., et al.
Published: (1995)
by: Babenko, V. F., et al.
Published: (1995)
Exact Jackson - Stechkin-type inequalities for 2π -periodic functions in L 2 and widths of some classes of functions
by: Shabozov, M. Sh., et al.
Published: (2011)
by: Shabozov, M. Sh., et al.
Published: (2011)
On the renewal of a solution of the Dirichlet boundary-value problem for a biharmonic equation
by: Shabozov, M. Sh., et al.
Published: (1998)
by: Shabozov, M. Sh., et al.
Published: (1998)
On the error of the interpolation by bilinear splines
by: Shabozov, M. Sh., et al.
Published: (1994)
by: Shabozov, M. Sh., et al.
Published: (1994)
On quadrature formulas with equal coefficients
by: Motornyi, V. P., et al.
Published: (1995)
by: Motornyi, V. P., et al.
Published: (1995)
On asymptotically optimal weight quadrature formulas on classes of differentiable functions
by: Ligun, A. A., et al.
Published: (2000)
by: Ligun, A. A., et al.
Published: (2000)
On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions
by: Borodachov, S.V., et al.
Published: (2001)
by: Borodachov, S.V., et al.
Published: (2001)
Optimal for accuracy quadrature formulas for calculating of the Bessel transformation for certain classes of sub-integral functions
by: V. K. Zadiraka, et al.
Published: (2021)
by: V. K. Zadiraka, et al.
Published: (2021)
Information complexity of weakly singular integral equations
by: Makhkamov, K. Sh., et al.
Published: (1994)
by: Makhkamov, K. Sh., et al.
Published: (1994)
Singularities of Solutions of Singular Integral Equations
by: Il'man, V. M., et al.
Published: (2002)
by: Il'man, V. M., et al.
Published: (2002)
On the best quadrature formulas for some classes of continuous functions
by: Polyakov, O. V., et al.
Published: (1998)
by: Polyakov, O. V., et al.
Published: (1998)
Exact constants in inequalities of the jackson type for quadrature formulas
by: Doronin, V. G., et al.
Published: (2000)
by: Doronin, V. G., et al.
Published: (2000)
On exact values of quasiwidths of some classes of functions
by: Vakarchuk, S. B., et al.
Published: (1996)
by: Vakarchuk, S. B., et al.
Published: (1996)
Наилучшее и наилучшее односторонее приближения ядра бигармонического уравнения и оптимальное восстановление значений операторов
by: Шабозов, М.Ш.
Published: (1995)
by: Шабозов, М.Ш.
Published: (1995)
О погрешности интерполяции билинейными сплайнами
by: Шабозов, М.Ш.
Published: (1994)
by: Шабозов, М.Ш.
Published: (1994)
Об оценках погрешности квадратурных формул для некоторых классов функций
by: Шабозов, М.Ш.
Published: (1991)
by: Шабозов, М.Ш.
Published: (1991)
On exact values of quasiwidths for some classes of differentiable periodic functions of two variables
by: Akobirshoev, M. O., et al.
Published: (2009)
by: Akobirshoev, M. O., et al.
Published: (2009)
Singular integral inequalities with several nonlinearities and integral equations with singular kernels
by: Medveď, M.
Published: (2008)
by: Medveď, M.
Published: (2008)
An approach to solving the singular integral equations with the negative index
by: O. B. Polishchuk
Published: (2014)
by: O. B. Polishchuk
Published: (2014)
On one method for the solution of an analog of the Cauchy problem
for a polycaloric equation with singular Bessel operator
by: Karimov, Sh. T., et al.
Published: (2017)
by: Karimov, Sh. T., et al.
Published: (2017)
On the calculation of certain singular integrals
by: Kovalenko, I. L., et al.
Published: (1993)
by: Kovalenko, I. L., et al.
Published: (1993)
On characteristic properties of singular operators
by: Koshmanenko, V. D., et al.
Published: (1996)
by: Koshmanenko, V. D., et al.
Published: (1996)
On local properties of singular integral
by: J. I. Mamedkhanov, et al.
Published: (2023)
by: J. I. Mamedkhanov, et al.
Published: (2023)
Integral Structure for Simple Singularities
by: Milanov, Todor, et al.
Published: (2020)
by: Milanov, Todor, et al.
Published: (2020)
On local properties of singular integral
by: Mamedkhanov, J. I., et al.
Published: (2023)
by: Mamedkhanov, J. I., et al.
Published: (2023)
Investigation of bending of anisotropic plates with inclusions based on singular integral relations
by: O. V. Maksymovych, et al.
Published: (2018)
by: O. V. Maksymovych, et al.
Published: (2018)
Optimization of direct methods for the approximate solution of weakly singular integral equations
by: Urumbaev, A. N., et al.
Published: (1994)
by: Urumbaev, A. N., et al.
Published: (1994)
Mean-square approximation by an angle in $L_2$ and the values of quasiwidths for some classes of functions
by: Shabozov, M. Sh., et al.
Published: (2020)
by: Shabozov, M. Sh., et al.
Published: (2020)
One Class of singular integral operators
by: Pavlov , E. A., et al.
Published: (1991)
by: Pavlov , E. A., et al.
Published: (1991)
Integrability by quadratures for systems of involutive vector fields
by: Basarab-Horwath, P.
Published: (1991)
by: Basarab-Horwath, P.
Published: (1991)
On the Boundedness of Singular Integral Operators in Symmetric Spaces
by: Peleshenko, B. I., et al.
Published: (2000)
by: Peleshenko, B. I., et al.
Published: (2000)
On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities
by: Azizov, M., et al.
Published: (1996)
by: Azizov, M., et al.
Published: (1996)
On the asymptotics of integral manifolds of singularly perturbed systems with delay
by: Cherevko, I. M., et al.
Published: (1999)
by: Cherevko, I. M., et al.
Published: (1999)
The asymptotics of constrained control in optimal singular parabolic problems
by: Kapustyan, V. E., et al.
Published: (1993)
by: Kapustyan, V. E., et al.
Published: (1993)
On modified Picard and Gauss—Weierstrass singular integrals
by: Rempulska, L., et al.
Published: (2005)
by: Rempulska, L., et al.
Published: (2005)
On modified Picard and Gauss—Weierstrass singular integrals
by: Rempulska, L., et al.
Published: (2005)
by: Rempulska, L., et al.
Published: (2005)
Optimal Morse–Smale flows with singularities on the boundary of surface
by: A. O. Prishlyak, et al.
Published: (2018)
by: A. O. Prishlyak, et al.
Published: (2018)
Similar Items
-
Quasiwidths and optimization of methods of mixed approximation of multidimensional singular integrals with kernels of hilbert type
by: Vakarchuk, S. B., et al.
Published: (1996) -
On quadrature and cubature formulas for a class of multiple singular integrals
by: Akimenko, V. V., et al.
Published: (1997) -
Best approximation and best unilateral approximation of the kernel of a biharmonic equation and optimal renewal of the values of operators
by: Shabozov, M. Sh., et al.
Published: (1995) -
On optimization of weight quadrature formulas
by: Babenko, V. F., et al.
Published: (1995) -
Exact Jackson - Stechkin-type inequalities for 2π -periodic functions in L 2 and widths of some classes of functions
by: Shabozov, M. Sh., et al.
Published: (2011)