Semi- Continuity

Language: English

Published by Omniscriptum Mär 2026, 2026

6131120749 / 9786131120749

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! In mathematical analysis, semi-continuity (or semicontinuity) is a property of extended real-valued functions that is weaker than continuity. An extended real-valued function f is upper (lower) semi-continuous at a point x0 if, roughly speaking, the function values for arguments near x0 are either close to f(x0) or less than (greater than) f(x0).Consider the function f, piecewise defined by f(x) = 1 for x 0 and f(x) = 1 for x 0. This function is upper semi-continuous at x0 = 0, but not lower semi-continuous.A function is continuous at x0 if and only if it is upper and lower semi-continuous there. Therefore, semi-continuity can be used to prove continuity. If f and g are two real-valued functions which are both upper semi-continuous at x0, then so is f + g. If both functions are non-negative, then the product function fg will also be upper semi-continuous at x0. Multiplying a positive upper semi-continuous function with a negative number turns it into a lower semi-continuous function. 96 pp. Englisch.

Seller Inventory # 9786131120749

Title
Semi- Continuity
Author
Lambert M. Surhone
Publisher
Omniscriptum Mär 2026
Publication year
2026
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6131120749
ISBN 13
9786131120749
Item weight
161 grams
Dimensions
220x150x6 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany