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SIAM Journal on Mathematical Analysis, 1998
Let \(E\) be a metrically convex compact metric space and let \(f\) be any scalar-valued continuous function, whose domain is a closed nonempty subset of \(E\). For any bounded function \(\varphi:E\to R\) and any mapping \(r:E\to R^+\) a new bounded function \(\widetilde\varphi\) from \(E\) to \(R,\) called the harmonious regularization of \(f\) is ...
Le Gruyer, E., Archer, J. C.
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Let \(E\) be a metrically convex compact metric space and let \(f\) be any scalar-valued continuous function, whose domain is a closed nonempty subset of \(E\). For any bounded function \(\varphi:E\to R\) and any mapping \(r:E\to R^+\) a new bounded function \(\widetilde\varphi\) from \(E\) to \(R,\) called the harmonious regularization of \(f\) is ...
Le Gruyer, E., Archer, J. C.
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The Review of Symbolic Logic, 2015
AbstractThe term ‘harmony’ refers to a condition that the rules governing a logical constant ought to satisfy in order to endow it with a proper meaning. Different characterizations of harmony have been proposed in the literature, some based on the inversion principle, others on normalization, others on conservativity.
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AbstractThe term ‘harmony’ refers to a condition that the rules governing a logical constant ought to satisfy in order to endow it with a proper meaning. Different characterizations of harmony have been proposed in the literature, some based on the inversion principle, others on normalization, others on conservativity.
openaire +2 more sources