On Korenblum convex functions

• Autorzy: Ereú J. , López L. , Merentes N.

Identyfikatory

DOI

10.14708/cm.v57i1.1542

• Języki publikacji: EN

Abstrakty

EN

We introduce a new class of generalized convex functions called the K-convex functions, based on Korenblum’s concept of k-decreasing functions, where K is an entropy (distortion) function. We study continuity and differentiability properties of these functions, and we discuss a special subclass which is a counterpart of the class of so-called d.c. functions. We characterize this subclass in terms of the space of functions of bounded second k-variation, extending a result of F. Riesz. We also present a formal structural decomposition result for the K-convex functions.

Słowa kluczowe

EN

convex function; G-entropy; generalized convexity

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2017
• Tom: Vol 57, No. 1
• Strony: 25--44
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Ereú J.

• Departamento de Matemáticas, Decanato de Ciencias y Tecnología, Universidad Centroccidental Lisandro Alvarado, Barquisimeto, Venezuela

autor

López L.

• Departamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes, Mérida, Venezuela

autor

Merentes N.

• Universidad Central de Venezuela, Facultad de Ciencias, Escuela de Matemáticas, Caracas-Venezuela

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).