This research aims to extend the Pinelis-Stolarsky inequality for q-integrals and explore its applications.
Developed inequalities extending the original Pinelis-Stolarsky form.
Analyzed the implications for q-gamma and q-beta functions.
Presented new foundational inequalities for q-integrals.
Demonstrated potential applications for q-gamma and q-beta functions.
Abstract
The main results presented are inequalities similar to the Pinelis extension of Stolarsky’s type inequality for q-integrals. Also, the applications for q-gamma and q-beta functions are given.