Displaying similar documents to “Remarks on Convexity in Dimension (2,2)”

An integral operator on the classes 𝒮 * ( α ) and 𝒞𝒱ℋ ( β )

Nicoleta Ularu, Nicoleta Breaz (2013)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order α and from the class 𝒞𝒱ℋ ( β ) and also we estimate the first two coefficients for functions obtained by this operator applied on the class 𝒞𝒱ℋ ( β ) .

On C * -spaces

P. Srivastava, K. K. Azad (1981)

Matematički Vesnik

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A Marchaud type inequality

Jorge Bustamante (2022)

Commentationes Mathematicae Universitatis Carolinae

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We present a new Marchaud type inequality in 𝕃 p spaces.

A characterization of sets in 2 with DC distance function

Dušan Pokorný, Luděk Zajíček (2022)

Czechoslovak Mathematical Journal

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We give a complete characterization of closed sets F 2 whose distance function d F : = dist ( · , F ) is DC (i.e., is the difference of two convex functions on 2 ). Using this characterization, a number of properties of such sets is proved.