2018
Том 70
№ 11

All Issues

Borodachov S.V.

Articles: 2
Brief Communications (Russian)

On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions

Borodachov S.V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2001. - 53, № 6. - pp. 847-956

We consider the problem of optimization of “interval” quadrature formulas (in different statements) on the class of monotone functions defined on an interval and the problem of optimization of cubature formulas with fixed knots on classes of functions defined on a d-dimensional cube, d = 2, 3,..., and monotonically nondecreasing with respect to each variable.

Article (Russian)

Optimization of approximate integration of monotone functions of two variables

Babenko V. F., Borodachov S.V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1999. - 51, № 7. - pp. 881–889

We solve the problem of optimization of approximate integration of functions of two variables defined on a rectangle and monotonic in each variable by using the quadrature formulas with nodes at points of a rectangle net.