TL;DR
This paper introduces and proves a q-analogue of the Bernoulli inequality, expanding the mathematical framework of inequalities with a new parameterized version.
Contribution
The paper presents the first proof of the q-analogue of Bernoulli inequality and discusses related inequalities in the q-calculus setting.
Findings
Established the q-Bernoulli inequality.
Derived related inequalities in q-calculus.
Extended classical inequalities to the q-analogue form.
Abstract
In this work, the q-analogue of Bernoulli inequality is proved. Some other related results are presented.
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematics and Applications · Advanced Mathematical Identities