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

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DOI: https://doi.org/10.28924/2291-8639-24-2026-188
Published: Jun 22, 2026
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Chanokgan Sahatsathatsana, Sattra Sahatsathatsana, On Quantum Montgomery and Ostrowski-Type Inequalities for Uniformly Convex Functions, Int. J. Anal. Appl., 24 (2026), 188.

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Chanokgan Sahatsathatsana, Sattra Sahatsathatsana

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.

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