A note on h-convex functions
2019 ◽
Vol 2019
(1)
◽
pp. 55-67
Abstract In this work, we discuss the continuity of h-convex functions by introducing the concepts of h-convex curves (h-cord). Geometric interpretation of h-convexity is given. The fact that for a h-continuous function f, is being h-convex if and only if is h-midconvex is proved. Generally, we prove that if f is h-convex then f is h-continuous. A discussion regarding derivative characterization of h-convexity is also proposed.
Keyword(s):
2021 ◽
Vol 118
(12)
◽
pp. e2021244118
1980 ◽
Vol 87
(3)
◽
pp. 501-513
◽
1953 ◽
Vol 4
(1)
◽
pp. 253-253
◽
2004 ◽
Vol 29
(1)
◽
pp. 229
◽
1986 ◽
Vol 28
(1)
◽
pp. 1-9
◽