On Parameterized Inequalities for Fractional Multiplicative Integrals
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Date
2024
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de Gruyter Poland Sp Z O O
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GOLD
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Yes
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Abstract
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively s s -convex mappings. These inequalities include new discoveries and improvements upon some well-known results. Finally, we provide an illustrative example with graphical representations, along with some applications to special means of real numbers within the domain of multiplicative calculus.
Description
Keywords
Parametrized Identity, Integral Inequalities, Fractional Multiplicative Integral, Multiplicative S-Convexity, Statistics and Probability, Fractional Differential Equations, Multiplicative function, Convex Functions, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, parametrized identity, 510, Fractional Integrals, 26d15, fractional multiplicative integral, QA1-939, FOS: Mathematics, 26a51, integral inequalities, 26a33, 26d10, Applied Mathematics, Statistical Convergence in Approximation Theory and Functional Analysis, Matrix Inequalities, Pure mathematics, multiplicative s-convexity, Parameterized complexity, Sonstiges, Inequality, Combinatorics, Mathematik, Physical Sciences, Functional Analysis, Mathematics, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, 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
Zhu, Wen Sheng...et al. (2024). "On parameterized inequalities for fractional multiplicative integrals", Demonstratio Mathematica, Vol. 57, No. 1.
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Q1
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Q1
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Demonstratio Mathematica
Volume
57
Issue
1
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CrossRef : 1
Scopus : 27
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27
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37.94186767
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