On the multiparameterized fractional multiplicative integral inequalities

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Date

2024-12

Authors

Almatrafi, Mohammed Bakheet
Saleh, Wedad
Lakhdari, Abdelghani
Jarad, Fahd

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Abstract

We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature rules involving one, two, and three points. Our results cover both new findings and established ones, offering a holistic framework for comprehending these inequalities. To validate our outcomes, we provide an illustrative example with visual aids. Furthermore, we highlight the practical significance of our discoveries by applying them to special means of real numbers within the realm of multiplicative calculus.

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Keywords

26A33, 26A51, 26D10, 26D15, Fractional Multiplicative Integral, Integral Inequalities, Multiparameterized Identity, Multiplicative S-Convexity

Citation

Almatrafi, Mohammed Bakheet...et al.(2024). "On the multiparameterized fractional multiplicative integral inequalities", Journal of Inequalities and Applications, Vol. 2024, No. 1.