Preservation of Logarithmic Convexity by Positive Operators
- 作者: Vinogradov O.L.1, Ulitskaya A.Y.1
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隶属关系:
- St. Petersburg State University
- 期: 卷 213, 编号 4 (2016)
- 页面: 504-509
- 栏目: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/237198
- DOI: https://doi.org/10.1007/s10958-016-2721-5
- ID: 237198
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详细
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.
作者简介
O. Vinogradov
St. Petersburg State University
编辑信件的主要联系方式.
Email: olvin@math.spbu.ru
俄罗斯联邦, 28, Universitetskii pr., St. Petersburg, 198504
A. Ulitskaya
St. Petersburg State University
Email: olvin@math.spbu.ru
俄罗斯联邦, 28, Universitetskii pr., St. Petersburg, 198504
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