AN APPLICABLE APPROXIMATION METHOD AND ITS APPLICATION

• 作 者: 曹怀信 陈峥立 李莉 余保民
• 机 构: CollegeofMathematicsandInformationScience,SchoolofSciences,CollegeofMathematicsandInformationScience
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2015年5期
• 关键词: 近似方法 应用 希尔伯特空间 HAAR小波 算子方程 标准正交基 适用性 近似解 Hilbert space applicability Haar wavele
• 基金项目: This work was partial support by the NSFC （11371012,11401359, 11471200）, the FRF for the Central Universities （GK201301007）, and the NSRP of Shaanxi Province （2014JQ1010）.

In this work, by choosing an orthonormal basis for the Hilbert spaceL2[0,1], an approximation method for finding approximate solutions of the equation(I+K)x=yis proposed, called Haar wavelet approximation method(HWAM). To prove the applicability of the HW