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First Note on the Definition of s<i>1</i>-Convexity
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Advances in Pure Mathematics·Volume 04 (2014)·Pages 674–679·Published 18 December 2014·DOI10.4236/apm.2014.412076
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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 cre ated and we then explain why such a function could not, or should not, have been created, along with others.
KeywordsAnalysisConvexityDefinitionS-ConvexityGeometry
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