First Note on the Definition of s1-Convexity

DOI: 10.4236/apm.2014.412076   PDF   HTML   XML   3,979 Downloads   4,300 Views   Citations


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.

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Pinheiro, I. (2014) First Note on the Definition of s1-Convexity. Advances in Pure Mathematics, 4, 674-679. doi: 10.4236/apm.2014.412076.

Conflicts of Interest

The authors declare no conflicts of interest.


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