Abstract
We introduce a family of three-point subdivision schemes related to palindromic pairs of matrices of order 2. We apply the Mosner theorem on palindromic matrices to the C0 convergence of these subdivision schemes. We study the Holder regularity of their limit functions. The Holder exponent which is found in the regular case is sharp for most limit functions. In the singular case, the modulus of continuity of the limit functions is of order δlogδ. These results can be used for studying the C1 convergence of the Merrien family of Hermite subdivision schemes.
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