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Online veröffentlicht: 27. Jan. 2015
Seitenbereich: 43 - 50
DOI: https://doi.org/10.2478/jamsi-2014-0012
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© Faculty of Natural Sciences, University of Saint Cyril and Metodius
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
We introduce the q-Bernstein functions, for 0<q<1 , and give sufficient and necessary conditions for a function to belong to the class of q -Bernstein functions. For some classes of functions we give results concerning q - completely monotonic and q -Bernstein functions. The obtained results are q -analogue of known results.