A note on generalized convex functions

A note on generalized convex functions

In the article, we provide an example for a η -convex function defined on rectangle is not convex, prove that every η -convex function defined on rectangle is coordinate η -convex and its converse is not true in general, define the coordinate ( η 1 , η 2 ) -convex function and establish its Hermite–...

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Veröffentlicht in:Journal of inequalities and applications 2019-11, Vol.2019 (1), p.1-10, Article 291
Hauptverfasser: Zaheer Ullah, Syed, Adil Khan, Muhammad, Chu, Yu-Ming
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Convex function
Coordinate ( η 1 , η 2 ) $(\eta _{1}, \eta _{2})$ -convex function
Coordinate convex function
Goal programming
Mathematics
Mathematics and Statistics
η-convex function
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Zusammenfassung:In the article, we provide an example for a η -convex function defined on rectangle is not convex, prove that every η -convex function defined on rectangle is coordinate η -convex and its converse is not true in general, define the coordinate ( η 1 , η 2 ) -convex function and establish its Hermite–Hadamard type inequality.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2242-0