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Research interests Numerical integration - Construction of quadrature and cubature rules
- Quadrature rules of algebraic accuracy
- Quadrature rules with external nodes
- Cubature and quadrature rules with boundary layer
- Cubature rules on cuboid lattices
- Error estimation for various classes of functions
- Classes of differential functions
- Spaces of p-summable functions
- Sobolev spaces
- Weighted Sobolev spaces
- Theoretical base for improving numerical methods
- Fundamental properties of Sobolev spaces
- Various norms of Sobolev spaces
- Integral representation of linear functionals in Sobolev spaces
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