<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We introduce the q-Bernstein functions, for 0&lt;q&lt;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.</p></abstract>

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.

q-Completely monotonic and q-Bernstein functions

Department of Mathematics, University of Patras, 26500 Patras, Greece

Department of Mathematics and Computer Sciences, University of Prishtina, Republic of Kosova

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"q-Completely monotonic and q-Bernstein functions"}

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...

q-Completely monotonic and q-Bernstein functions

Published Online: Jan 27, 2015

Page range: 43 - 50

DOI: https://doi.org/10.2478/jamsi-2014-0012

Keywords
completely monotonic functions, Bernstein functions, q -completely monotonic, q -Bernstein functions, positive definite functions, negative definite functions

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

q-Completely monotonic and q-Bernstein functions

Published Online: Jan 27, 2015

Page range: 43 - 50

DOI: https://doi.org/10.2478/jamsi-2014-0012

Keywordscompletely monotonic functions, Bernstein functions, q -completely monotonic, q -Bernstein functions, positive definite functions, negative definite functions

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
completely monotonic functions, Bernstein functions, q -completely monotonic, q -Bernstein functions, positive definite functions, negative definite functions