q-Completely monotonic and q-Bernstein functions

Chrysi G. Kokologiannaki; Valmir Krasniqi

doi:10.2478/jamsi-2014-0012

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q-Completely monotonic and q-Bernstein functions

Journal of Applied Mathematics, Statistics and Informatics

Volume 10 (2014): Issue 2 (December 2014)

By: Chrysi G. Kokologiannaki and Valmir Krasniqi

Open Access

|Jan 2015

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2014-0012 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 43 - 50

Published on: Jan 27, 2015

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

completely monotonic functions,

Bernstein functions,

q -completely monotonic,

q -Bernstein functions,

positive definite functions,

negative definite functions

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2015 Chrysi G. Kokologiannaki, Valmir Krasniqi, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 10 (2014): Issue 2 (December 2014)