| Some- former results on trigonometric interpolation were studied deeply in this paper which contains 2 aspects as following:1. The 2-periodic (o,δM)- trigonometric interpolation problem was studied, and then some fundamental polynomials of interpolation were established; Differentiability of the interpolated function was dropped really through solving the problem and some approximation results were obtained.2. Solvability of (0,δm),(o,δp)(o,m1],Am2,/m3)-interpolation problems on π -antiperiodic function and some of 2-oeriodic situation were discussed, and some fundamental problems on ;π-antiperiodic function were considered in this aspect.
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