SINGULARITIES OF ASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAS IN SPACES

Author(s): Shatokhina Larisa Vladimirovna

Rubric: Information technology

Release: 2014-1 (4)

Pages: 250-255

Keywords: formulas of approximate integration, lattice quadrature formulas with boundary layer, thicken rectangle formula, thicken trapezoid rule, Gregory’s formulas, functional of errors, norm of functional, asymptotically optimal formulas

Annotation: The author researches the quadrature formulas with boundary layer for spaces of functions . For cases of spaces ( ) the author show examples of asymptotically optimal and optimal quadrature formulas with boundary layer and write their properties.

Bibliography: Shatokhina LA.VL. SINGULARITIES OF ASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAS IN SPACES // Education Resources and Technologies. – 2014. – № 1 (4). – С. 250-255. doi: