Parametrized multiplicative integral inequalities
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Advances in Continuous and Discrete Models
Abstract
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.
Description
Volume 2024, article number 12
https://doi.org/10.1186/s13662-024-03806-7
Keywords
Parametrized identity, Integral inequalities, Multiplicative integral and derivative, Multiplicative convexity, Hölder inequality, Power mean inequality