Bernstein Widths of Some Classes of Functions Defined by a Self-Adjoint Operator

[摘要] We consider the classes of periodic functions with formal self-adjoint linear differential operatorsWp(ℒr), which include the classical Sobolev class as its special case. Using the iterative method of Buslaev, with the help of the spectrum of linear differential equations, we determine the exact values of Bernstein width of the classesWp(ℒr)in the spaceLqfor1

[学科分类] 应用数学