Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space

Abstract

The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in different classes of functions, as well as the assessment of their errors, is the goal of this work.

Keywords

• cubature formulas
• quadrature formulas
• error functional
• error functional norm
• optimal coefficients