In this paper, we aim to discuss the Noether property of the Riemann boundary value problems in a Banach algebra of continuous functions over simple closed curves and its direct approximate solution through approximation of the principal coefficient, establishing a bound for the error of approximate solution of the problem to the exact solution.

中文翻译：

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闭合曲线上黎曼边值问题的诺特性质及近似解

在本文中，我们旨在讨论在简单闭合曲线上的连续函数的 Banach 代数中黎曼边值问题的 Noether 性质及其通过逼近主系数的直接近似解，建立近似解的误差的界限问题的确切解决方案。