Real Analysis Exchange

Uniform Differentiability

Julius V. Benitez, Ferdinand P. Jamil, and Chew Tuan Seng

Full-text: Open access

Abstract

The concept of uniform differentiability is introduced to characterize sequences of McShane and Henstock equi-integrable functions.

Article information

Source
Real Anal. Exchange, Volume 37, Number 2 (2011), 451-462.

Dates
First available in Project Euclid: 15 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.rae/1366030637

Mathematical Reviews number (MathSciNet)
MR3080604

Zentralblatt MATH identifier
1275.26004

Subjects
Primary: 26A03: Foundations: limits and generalizations, elementary topology of the line 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15]
Secondary: 26A06: One-variable calculus 26A39: Denjoy and Perron integrals, other special integrals 26A42: Integrals of Riemann, Stieltjes and Lebesgue type [See also 28-XX]

Keywords
McShane integral uniformly strongly differentiable equi-integrability

Citation

Benitez, Julius V.; Jamil, Ferdinand P.; Seng, Chew Tuan. Uniform Differentiability. Real Anal. Exchange 37 (2011), no. 2, 451--462. https://projecteuclid.org/euclid.rae/1366030637


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References

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