On strongly midconvex functions

• Autorzy: Azocar A. , Gimenez J. , Nikodem K. , Sanchez J. L.
• Języki publikacji: EN

Abstrakty

EN

In this paper we collect some properties of strongly midconvex functions. First, counterparts of the classical theorems of Bernstein-Doetsch, Ostrowski and Sierpiński are presented. A version of Rod é support theorem for strongly midconvex functions and a Kuhn-type result on the relation between strongly midconvex functions and strongly t-convex functions are obtained. Finally, a connection between strong midconvexity and generalized convexity in the sense of Beckenbach is established

Słowa kluczowe

EN

strongly convex functions; strongly midconvex functions; Bernstein-Doetsch--type theorem; Kuhn theorem; Rode support theorem; Beckenbach convexity

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2011
• Tom: Vol. 31, no. 1
• Strony: 15--26
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Azocar A.

autor

Gimenez J.

autor

Nikodem K.

autor

Sanchez J. L.

• University of Bielsko-Biała Department of Mathematics and Computer Science ul. Willowa 2, 43-309 Bielsko-Biała, Poland [Nikodem, K.],

Bibliografia

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