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Title
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Parametrized multiplicative integral inequalities
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Type
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JournalPaper
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Keywords
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Parametrized identity; Integral inequalities; Multiplicative integral and derivative; Multiplicative convexity; Hölder inequality; Power mean inequality
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Abstract
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In this paper, we introduce a biparametrized multiplicative integral identity and employ it to establish a collection of inequalities for multiplicatively convex mappings. These inequalities encompass several novel findings and refinements of established results. To enhance readers’ comprehension, we offer illustrative examples that highlight appropriate choices of multiplicatively convex mappings along with graphical representations. Finally, we demonstrate the applicability of our results to special means of real numbers within the realm of multiplicative calculus.
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Researchers
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Herbert Mukalazi (Fifth Researcher), Abdelghani Lakhdari (Fourth Researcher), Ali Shokri Shokri (Third Researcher), Badreddine Meftah (Second Researcher), Assia Frioui (First Researcher)
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