Preservation of Logarithmic Convexity by Positive Operators

被引：0

作者：

Vinogradov O.L. ^{[1
]}

Ulitskaya A.Y. ^{[1
]}

机构：

[1] St. Petersburg State University, 28, Universitetskii pr., St. Petersburg

来源：

Journal of Mathematical Sciences | 2016年 / 213卷 / 4期

关键词：

Convex Function; Positive Root; Identity Operator; Positive Operator; Approximation Theory;

D O I：

10.1007/s10958-016-2721-5

中图分类号：

学科分类号：

摘要：

We show that the Szász–Mirakyan and Baskakov operators preserve the logarithmic convexity of functions, whereas the Bernstein and Kantorovich operators do not possess this property. © 2016, Springer Science+Business Media New York.

引用

页码：504 / 509

页数：5