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On Quantum Montgomery and Ostrowski-Type Inequalities for Uniformly Convex Functions

International Journal of Analysis and Applications | 2026

Paper Details

Authors: Sahatsathatsana C.; Sahatsathatsana S.

DOI: 10.28924/2291-8639-24-2026-188

Journal: International Journal of Analysis and Applications

Year: 2026

Publisher: Etamaths Publishing

Document Type: Article

Open Access: All Open Access; Gold Open Access

Cited by: 0

Abstract

In this paper, we employ the quantum Montgomery identity together with tools from q-calculus to derive new Ostrowski-type inequalities for uniformly convex functions. The resulting estimates involve a modulus function associated with uniform convexity. Several corollaries are obtained by considering particular choices of the parameters. In addition, the relationships between the proposed results and some existing results in the literature are briefly discussed. Numerical examples and graphical illustrations are included to support the theoretical findings. © 2026 the author(s).

Keywords

Ostrowski-type inequality; quantum montgomery; uniformly convex function