1. Institute of Mathematics , University of Tartu , Tartu , Estonia gennadi.vainikko@ut.ee
Abstract:
For (pure) cordial Volterra integral equations of the first kind, we establish stability estimates of the solution in the scales of Banach spaces of Cm-smooth functions on (0, T] and on [0, T]. This enables to estimate the error of polynomial or generalized polynomial approximate solutions which are easy to be determined.