Abstract
1. INTRODUCTIONlinear and higher degree interpolation are widely used schemes for Piecewise Polynomial approximation. But at joint of two linear pieces, piecewise linear functions have corners and therefore to achieve a prescribed accuracy usually more data are required then higher order method therefore higher order method are beneficial for best approximation. In the direction of higher order method, Kopotun [4] has obtained univariate splines equivalence of moduli of smoothness and application. Marker and Remier [5] have investigate an unconditionally convergent method for computing zero's of splines and polynomials.(also we refer to Howell and Varma [ 6], Dikshit and Rana [2 ] ,Rana [ 7.8], Agrwal and Wong [9] and Gmeling –Mayling [10] ) 1 ....
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