Remarks on unifying principles in real analysis (Q1073933)
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scientific article; zbMATH DE number 3946498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on unifying principles in real analysis |
scientific article; zbMATH DE number 3946498 |
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Remarks on unifying principles in real analysis (English)
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1985
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The author compares two unifying principles in real analysis: those formulated by \textit{H. Leinfelder} [Real Anal. Exch. 8, 511--518 (1983; Zbl 0529.26002)] and by \textit{P. Shanahan} [Am. Math. Mon. 79, 895--898 (1972; Zbl 0258.26003)]. In the first part of the paper he shows that both principles are equivalent. In the second part he uses the principles for simplifying proofs of some theorems on monotonicity and Lipschitz condition of real functions.
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totally ordered sets
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unifying principles in real analysis
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monotonicity
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Lipschitz condition
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