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On the Multiparameterized Fractional Multiplicative Integral Inequalities

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Date

2024

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Springer

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GOLD

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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

Multiparameterized Identity, Integral Inequalities, Fractional Multiplicative Integral, Multiplicative S-Convexity, Multiparameterized identity, Applied Mathematics, Multiplicative function, Fractional calculus, Pure mathematics, Stability of Functional Equations in Mathematical Analysis, Fractional multiplicative integral, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Inequality, Physical Sciences, QA1-939, FOS: Mathematics, Integral inequalities, Multiplicative s-convexity, Mathematics, multiparameterized identity, Fractional derivatives and integrals, fractional multiplicative integral, integral inequalities, multiplicative \(s\)-convexity, Inequalities for sums, series and integrals

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Fields of Science

02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics

Citation

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

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Journal of Inequalities and Applications

Volume

2024

Issue

1

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CrossRef : 4

Scopus : 29

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29

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28

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3

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39.83896105

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