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.
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页码：504 / 509
页数：5
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