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Pinheiro, M.R. (2008) Convexity Secrets. Trafford, Canada, ISBN 1-4251-3821-7.

has been cited by the following article:

  • 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.