Characterizations and decomposition of strongly wright-convex functions of higher order

• Autorzy: Gilanyi A. , Merentes N. , Nikodem K. , Pales Z.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2015.35.L37

• Języki publikacji: EN

Abstrakty

EN

Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal. 74 (2011), 661-665] we investigate strongly Wright-convex functions of higher order and we prove decomposition and characterization theorems for them. Our decomposition theorem states that a function / is strongly Wright-convex of order n if and only if it is of the form [formula], where g is a (continuous) n-convex function and p is a polynomial function of degree n. This is a counterpart of Ng's decomposition theorem for Wright-convex functions. We also characterize higher order strongly Wright-convex functions via generalized derivatives.

Słowa kluczowe

EN

generalized convex function; Wright convex function of higher order; strongly convex function

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 1
• Strony: 37--46
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Gilanyi A.

• University of Debrecen Faculty of Informatics Pf. 12, 4010 Debrecen, Hungary

autor

Merentes N.

• Universidad Central de Venezuela Escuela de Matematicas Caracas, Venezuela

autor

Nikodem K.

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

autor

Pales Z.

• University of Debrecen Institute of Mathematics Pf. 12, 4010 Debrecen, Hungary

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