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2006/2007 On a generalized notion of differentiability.
S. D’Asero, V. Pata, P. Ursino
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Real Anal. Exchange 32(1): 97-118 (2006/2007).


We discuss and compare some generalized types of continuity and differentiability. In particular, we focus on a notion of differentiability based on an integral average, and we establish a link with an approximation procedure by polynomials.


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S. D’Asero. V. Pata. P. Ursino. "On a generalized notion of differentiability.." Real Anal. Exchange 32 (1) 97 - 118, 2006/2007.


Published: 2006/2007
First available in Project Euclid: 17 July 2007

zbMATH: 1155.26004
MathSciNet: MR2329225

Primary: 26A24 , 41A10 , 42C10

Keywords: $L$-derivative , best approximating polynomials , generalized Taylor sums , Legendre polynomials

Rights: Copyright © 2006 Michigan State University Press

Vol.32 • No. 1 • 2006/2007
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