Sufficient Condition for Convergence of Lagrange-Sturm-Liouville Processes in Terms of One-Sided Modulus of Continuity

作     者：Trynin, A. Yu. 

作者机构：Saratov NG Chernyshevskii State Univ Saratov 410012 Russia 

出 版 物：《COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS》 (计算数学与数理物理学)

年 卷 期：2018年第58卷第11期

页      面：1716-1727页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0702[理学-物理学] 

主　　题：sinc approximation interpolation of functions uniform approximation Lagrange-Sturm-Liouville processes 

摘      要：A sufficient condition for the uniform convergence in the interval (0, pi) of interpolation processes based on the eigenfunctions of a regular Sturm-Liouville problem with a continuous bounded variation potential is obtained. The condition is formulated in terms of a one-sided modulus of continuity of a function.