Uniform continuity of a product of real functions

DOI10.14321/realanalexch.37.1.0213zbMath1254.26004OpenAlexW1514385890MaRDI QIDQ418223

Somashekhar Amr Naimpally, Gerald A. Beer

Publication date: 28 May 2012

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1335806773

zbMATH Keywords

oscillationuniform continuityemphatic uniform continuity of a product of a function pairjoint oscillationpointwise product of functions

Mathematics Subject Classification ID

Continuous maps (54C05) Metric spaces, metrizability (54E35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Real-valued functions in general topology (54C30)

Related Items (3)

Uniform continuity and a new bornology for a metric space ⋮ U(X) as a ring for metric spaces X ⋮ In memoriam: Somashekhar Naimpally (1931--2014).

Cites Work

• Arzelà's theorem and strong uniform convergence on bornologies
• Strong uniform continuity
• On the Product of two Uniformly Continuous Functions on the Line
• On the Product of Real Valued Uniformly Continuous Functions in Metric Spaces
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