A note on continuous sums of ridge functions (Q1801184)
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scientific article; zbMATH DE number 6966601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on continuous sums of ridge functions |
scientific article; zbMATH DE number 6966601 |
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A note on continuous sums of ridge functions (English)
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26 October 2018
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The main result of the present paper establishes that if a continuous multivariate function is represented by the sum of arbitrarily behaved ridge functions, then, under natural hypotheses, it can be represented by a sum of continuous ridge functions. The proof combines quite elementary arguments, including the Cauchy functional equation and basic properties of the modulus of continuity and ridge functions.
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Cauchy functional equation
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modulus of continuity
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ridge function
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