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Jensen– and Mercer–type inequalities for h–convex functions: characterizations, refinements, and applications

Abstract This paper presents a unified framework for extending Jensen- and Mercer-type inequalities within the h-convex function space. By leveraging the supermultiplicative and superadditive properties of the weight function h ( t ) $h(t)$ , we refine classical inequalities like Jensen’s, Hölder’s,...

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I tiakina i:
Ngā taipitopito rārangi puna kōrero
Ngā kaituhi matua: Sajid Ali, Rabia Bibi
Hōputu: Artigo
Reo:Inglês
I whakaputaina: SpringerOpen 2025-12-01
Rangatū:Journal of Inequalities and Applications
Ngā marau:
Urunga tuihono:https://doi.org/10.1186/s13660-025-03418-z
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