$q$-Bernstein functions and applications
Valmir Krasniqi, Toufik Mansour
TL;DR
This paper characterizes $q$-Bernstein functions using the $q$-Laplace transform and explores their properties, including $q$-complete monotonicity and related function classes, contributing to the mathematical theory of $q$-analogues.
Contribution
It provides a new characterization of $q$-Bernstein functions via the $q$-Laplace transform and investigates their properties, expanding the understanding of $q$-function classes.
Findings
Characterization of $q$-Bernstein functions using $q$-Laplace transform
Results on $q$-completely monotonic functions
Results on $q$-log completely monotonic functions
Abstract
We characterize of the -Bernstein functions in terms of -Laplace transform. Moreover, we present several results of -completely monotonic, -log completely monotonic and -Bernstein functions.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical functions and polynomials · Mathematical Analysis and Transform Methods