On the Method of Approximation by Families of Linear Polynomial Operators
Z. Burinska
Friedrich-Schiller-Universität Jena, GermanyKonstantin V. Runovski
Lomonosov State University, Sevastopol, UkraineHans-Jürgen Schmeisser
Friedrich-Schiller-University, Jena, Germany
![On the Method of Approximation by Families of Linear Polynomial Operators cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-19-issue-3.png&w=3840&q=90)
Abstract
It is shown that best approximation by trigonometric polynomials is achieved in average by families of linear polynomial operators in the -metric for all . This is compared with approximation by Fourier means and interpolation means which is restricted to and , respectively.
Cite this article
Z. Burinska, Konstantin V. Runovski, Hans-Jürgen Schmeisser, On the Method of Approximation by Families of Linear Polynomial Operators. Z. Anal. Anwend. 19 (2000), no. 3, pp. 677–693
DOI 10.4171/ZAA/974