First asymptotic relations of Voronovskaya-type for rational operators of Shepard-type are shown. A positive answer in some senses to a problem on the pointwise approximation power of linear operators on equidistant nodes posed by Gavrea, Gonska and Kacso is given. Direct and converse results, computational aspects and Gruss-type inequalities are also proved. Finally an application to images compression is discussed, showing the outperformance of such operators in some senses.
New Results on Rational Approximation / DELLA VECCHIA, Biancamaria; Amato, Umberto. - In: RESULTS IN MATHEMATICS. - ISSN 1422-6383. - STAMPA. - 67:3(2014), pp. 345-364. [10.1007/s00025-014-0420-4]
New Results on Rational Approximation
DELLA VECCHIA, Biancamaria;
2014
Abstract
First asymptotic relations of Voronovskaya-type for rational operators of Shepard-type are shown. A positive answer in some senses to a problem on the pointwise approximation power of linear operators on equidistant nodes posed by Gavrea, Gonska and Kacso is given. Direct and converse results, computational aspects and Gruss-type inequalities are also proved. Finally an application to images compression is discussed, showing the outperformance of such operators in some senses.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
