What does this research mean for the field?

The Pinelis extension of Stolarsky's inequality can be generalized for q-integrals and applied to q-gamma and q-beta functions. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This research aims to extend the Pinelis-Stolarsky inequality for q-integrals and explore its applications.

May 19, 2026Filomat0 citationsOpen Access

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Some extensions of the Pinelis-Stolarsky’s inequality for q-integrals

IBIlko BrnetićUniversity of Zagreb

Key Points

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.

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Some extensions of the Pinelis-Stolarsky’s inequality for q-integrals

Key Points

Abstract

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