TITLE:
Second Note on the Definition of S1-Convexity
AUTHORS:
I. M. R. Pinheiro
KEYWORDS:
Analysis, Convexity, Definition, s-Convexity, Geometry, Shape, S-Convexity, s-Convex Function, S-Convex Function
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.3,
March
12,
2015
ABSTRACT: In this note, we discuss the definition of the S1-convexity Phenomenon. We first make use of some
results we have attained for in the past, such as those contained in [1], to refine the
definition of the phenomenon. We then observe that easy counter-examples to the
claim extends K0 are found. Finally, we make use of one theorem from [2] and a new theorem
that appears to be a supplement to that one to infer that does not properly extend K0 in both its original and its
revised version.