On a generalized notion of differentiability.

S. D’Asero; V. Pata; P. Ursino

doi:rae/1184700040

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Home > Journals > Real Anal. Exchange > Volume 32 > Issue 1 > Article

2006/2007 On a generalized notion of differentiability.

S. D’Asero, V. Pata, P. Ursino

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S. D’Asero,¹ V. Pata,² P. Ursino¹
¹Dipartimento di Matematica e Informatica, Universit\`a di Catania, I-95125 Catania, Italy
²Dipartimento di Matematica “F.Brioschi”, Politecnico di Milano, I-20133 Milano, Italy

Real Anal. Exchange 32(1): 97-118 (2006/2007).

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Abstract

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.

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Published: 2006/2007

First available in Project Euclid: 17 July 2007

zbMATH: 1155.26004

MathSciNet: MR2329225

Subjects:

Primary: 26A24 , 41A10 , 42C10

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

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Real Anal. Exchange

Vol.32 • No. 1 • 2006/2007

Michigan State University Press

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

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