On a Sequence of Positive Linear Operators Associated with a Continuous Selection of Borel Measures |
| |
Authors: | Francesco Altomare Vita Leonessa |
| |
Affiliation: | (1) Dipartimento di Matematica, Università degli Studi di Bari, Campus Universitario, Via E. Orabona, 4, 70125 Bari, Italia |
| |
Abstract: | In this paper we introduce and study a new sequence of positive linear operators acting on the space of Lebesgue-integrable functions on the unit interval. These operators are defined by means of continuous selections of Borel measures and generalize the Kantorovich operators. We investigate their approximation properties by presenting several estimates of the rate of convergence by means of suitable moduli of smoothness. Some shape preserving properties are also shown. Dedicated to the memory of Professor Aldo Cossu |
| |
Keywords: | 41A10 41A25 41A36 |
本文献已被 SpringerLink 等数据库收录! |
|