Preservation of Logarithmic Convexity by Positive Operators


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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.

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O. Vinogradov

St. Petersburg State University

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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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