A note on generalized convex functions

• Published in: Journal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 10
• Main Authors: Zaheer Ullah, Syed, Adil Khan, Muhammad, Chu, Yu-Ming
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 12.11.2019; Springer Nature B.V; SpringerOpen
• Subjects: 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; 39B62; Coordinate convex function; Convex function; 26A51; Coordinate; 26D15

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–...