Shepard-type rational operators based on q-integers are studied and convergence results and pointwise approximation error estimates improving previous statements are obtained. Influence of choice of q on the error estimates is also discussed. Techniques in CAGD for shape modeling of rational curves based on above operators are also presented and numerical examples are given.
Rational operators based on q-integers / DELLA VECCHIA, Biancamaria; Amato, Umberto. - In: RESULTS IN MATHEMATICS. - ISSN 1422-6383. - STAMPA. - 72:3(2017), pp. 1109-1128. [10.1007/s00025-017-0682-8]
Rational operators based on q-integers
DELLA VECCHIA, Biancamaria
;
2017
Abstract
Shepard-type rational operators based on q-integers are studied and convergence results and pointwise approximation error estimates improving previous statements are obtained. Influence of choice of q on the error estimates is also discussed. Techniques in CAGD for shape modeling of rational curves based on above operators are also presented and numerical examples are given.File allegati a questo prodotto
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