Uniform Continuity of a Product of Real Functions

G. Beer; S. Naimpally

doi:rae/1335806773

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Home > Journals > Real Anal. Exchange > Volume 37 > Issue 1 > Article

2011/2012 Uniform Continuity of a Product of Real Functions

G. Beer, S. Naimpally

Real Anal. Exchange 37(1): 213-220 (2011/2012).

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Abstract

We produce necessary and sufficient conditions for the pointwise product of two uniformly continuous real-valued functions defined on a metric space to be uniformly continuous.

Citation

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G. Beer. S. Naimpally. "Uniform Continuity of a Product of Real Functions." Real Anal. Exchange 37 (1) 213 - 220, 2011/2012.

Information

Published: 2011/2012

First available in Project Euclid: 30 April 2012

zbMATH: 1254.26004

MathSciNet: MR3016861

Subjects:

Primary: 26A15 , 54C05

Secondary: ‎54C30 , 54E35

Keywords: emphatic uniform continuity of a product of a function pair , joint oscillation , ‎oscillation‎ , pointwise product of functions , uniform continuity