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Abstract
In this paper a new five-point approximating subdivision scheme is presented, generating the C 4 curves, which is the extension of the four-point approximating subdivision scheme developed by Siddiqi and Ahmad. The limit function of the new five-point scheme has a support on [−5, 4]. The Laurent polynomial method is used to analyse the smoothness of the new scheme. The Hölder exponent for the scheme is calculated. The usefulness of the scheme is illustrated in the examples.