In the present paper, a Nystrom-type method for second kind Volterra integral equations is introduced and studied. The method makes use of generalized Bernstein polynomials, defined for continuous functions and based on equally spaced points. Stability and convergence are studied in the space of continuous functions, and some numerical tests illustrate the performance of the proposed approach.

翻译：本文介绍并研究了二类Volterra综合方程式的Nystrom型方法,该方法利用通用的Bernstein多元分子法,该方法为连续功能所定义,以同样空隙点为基础,在连续功能空间研究稳定性和趋同性,一些数字测试说明拟议方法的绩效。