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2003-2004 On some pointwise defects of properties in real analysis.
Adrian I. Ban, Sorin G. Gal
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Real Anal. Exchange 29(1): 175-197 (2003-2004).


In this paper we continue the research in Real Analysis, in the spirit of the very recent book [1]. Firstly, as a refinement of the global defect of integrability introduced in [1], $\S $5.1, we consider here a pointwise defect of integrability and study its properties and connections with the pointwise defect of continuity already introduced in [1], $\S$ 5.1. Secondly, as refinements of the global defects of monotonicity and of convexity introduced in the same book [1], $\S$ 5.2, we consider and study pointwise variants


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Adrian I. Ban. Sorin G. Gal. "On some pointwise defects of properties in real analysis.." Real Anal. Exchange 29 (1) 175 - 197, 2003-2004.


Published: 2003-2004
First available in Project Euclid: 9 June 2006

zbMATH: 1092.26002
MathSciNet: MR2061302

Primary: 26A15 , 26A24 , 26A42 , 26A48 , 26A51‎

Keywords: of convexity , of differentiability , of integrability , of monotonicity , pointwise defects of continuity

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 1 • 2003-2004
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