Email this article Preservation of Logarithmic Convexity by Positive Operators
- Authors: Vinogradov O.L.1, Ulitskaya A.Y.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 213, No 4 (2016)
- Pages: 504-509
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237198
- DOI: https://doi.org/10.1007/s10958-016-2721-5
- ID: 237198
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Abstract
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.
About the authors
O. L. Vinogradov
St. Petersburg State University
Author for correspondence.
Email: olvin@math.spbu.ru
Russian Federation, 28, Universitetskii pr., St. Petersburg, 198504
A. Yu. Ulitskaya
St. Petersburg State University
Email: olvin@math.spbu.ru
Russian Federation, 28, Universitetskii pr., St. Petersburg, 198504
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