TITLE:
First Note on the Definition of s1-Convexity
AUTHORS:
I. M. R. Pinheiro
KEYWORDS:
Analysis, Convexity, Definition, S-Convexity, Geometry
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.12,
December
30,
2014
ABSTRACT: In this note, we analyze a few major claims about . As a consequence, we
rewrite a major theorem, nullify its proof and one remark of importance, and
offer a valid proof for it. The most important gift of this paper is probably
the reasoning involved in all: We observe that a constant, namely t, has been changed into a variable, and
we then tell why such a move could not have been made, we observe the
discrepancy between the claimed domain and the actual domain of a supposed
function that is created and we then explain why such a function
could not, or should not, have been created, along with others.