New theorems in approximation theory
Abstract
The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several results are obtained .For example , it shown that ,for any the inequality , is satisfied ,finally, similar result for chebyshev partition and weighted Ditzian –Totik moduli of smoothness are also obtained.
Keywords
Univariate splines, moduli of smoothness, "non uniform" modulus of smoothness, weighted Ditzian –Totik moduli of smoothness.Metrics