In this study, a new form of a quadratic spline is obtained, where the coefficients are determined explicitly by variational methods. Convergence is studied and parity conservation is demonstrated. Finally, the method is applied to solve integral equations.

中文翻译：

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一种新形式的二次显式样条的收敛分析和奇偶守恒在积分方程中的应用

在这项研究中，获得了一种新形式的二次样条，其中系数由变分方法明确确定。研究了收敛性并证明了奇偶守恒。最后，将该方法应用于求解积分方程。