On approximately Breckner s-convex functions

• Autorzy: Burai P. , Hazy A. , Juhasz T.
• Języki publikacji: EN

Abstrakty

EN

The main goal of this paper is to consider the regularity and convexity properties of a given type of approximately generalized convex functions, namely approximately Breckner s-convex functions (see the origin of the definition in Breckner, 1978). Our main result is a Bernstein-Doetsch type one. It is proved that the local boundedness of such a type of function from above at a point of its domain implies approximate convexity and stronger regularity properties of the function in question on the whole domain.

Słowa kluczowe

EN

convexity; approximate convexity; s-convexity; regularity properties of generalized convex functions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 1
• Strony: 91--99
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Burai P.

autor

Hazy A.

autor

Juhasz T.

• Department of Applied Mathematics and Probability Theory, University of Debrecen, H-4010 Debrecen, Pf. 12, Hungary,

Bibliografia

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