Integral-type operators on continuous function spaces on the real line |
| |
Authors: | Francesco Altomare Sabina Milella |
| |
Affiliation: | Dipartimento di Matematica, Università di Bari, Via E. Orabona, 4, 70125 Bari, Italy |
| |
Abstract: | In this paper we introduce some new sequences of positive linear operators, acting on a sufficiently large space of continuous functions on the real line, which generalize Gauss–Weierstrass operators.We study their approximation properties and prove an asymptotic formula that relates such operators to a second order elliptic differential operator of the form Lu?αu′′+βu′+γu.Shape-preserving and regularity properties are also investigated. |
| |
Keywords: | MSC: 41A35 41A25 41A36 |
本文献已被 ScienceDirect 等数据库收录! |
|