1. Dip. Me.Mo.Mat., University of Roma “La Sapienza”, Via A. Scarpa 10, 00161 Roma, Italy;2. DIMEG, University of L’Aquila, P.zza E. Pontieri, 2, 67040 Monteluco Roio (AQ), Italy
Abstract:
We study integral refinable operators of integral type exact on polynomials of even degree constructed by using refinable B-bases of GP type. We prove a general theorem of existence and uniqueness. Then we study the Lp-norm of these operators and we give error bounds in approximating functions and their derivatives belonging to suitable classes. Numerical results and comparisons with other quasi-interpolatory operators having the same order of exactness on polynomial reproduction are presented.