# On the Extensions Preserving the Shape of a Semi-Hölder Function

## Abstract

We present some results concerning the extension of a semi-Hölder real-valued function defined on a subset of a quasi-metric space, preserving some shape properties: the smallest semi-Hölder constant, the radiantness and the global minimum (maximum) of the extended function.

## Authors

Costică Mustăța
”Tiberiu Popoviciu” Institute of Numerical Analysis Cluj-Napoca, Romanian Academy

## Keywords

Quasi-metric space; semi-Holder function; radiant function

### References

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## Paper coordinates

Mustăţa, C.,  On the extensions preserving the shape of a semi-Hölder function, Results. Math. 63 (2013), 425–433.
doi: 10.1007/s00025-011-0206-x

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## About this paper

##### Journal

Results in Mathematics

Springer

1422-6383

1420-9012

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