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Mathematics > Functional Analysis

arXiv:2201.07217 (math)
[Submitted on 15 Jan 2022 (v1), last revised 9 Oct 2022 (this version, v3)]

Title:Conditional $h$-convexity with applications

Authors:Ismail Nikoufar, Davuod Saeedi
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Abstract:In this paper, we introduce the notion of conditional $h$-convex functions and we prove an operator version of the Jensen inequality for conditional $h$-convex functions. Using this type of functions, we give some refinements for Ky-Fan's inequality, arithmetic-geometric mean inequality, Chrystal inequality, and H$\ddot{o}$lder-McCarthy inequality. Many of the other inequalities can be refined by applying this new notion.
Comments: arXiv admin note: substantial text overlap with arXiv:2201.05862
Subjects: Functional Analysis (math.FA)
MSC classes: 26D15, 15A39, 47A63, 46N10, 47A60
Cite as: arXiv:2201.07217 [math.FA]
  (or arXiv:2201.07217v3 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.2201.07217

Submission history

From: Ismail Nikoufar [view email]
[v1] Sat, 15 Jan 2022 14:41:50 UTC (10 KB)
[v2] Thu, 14 Jul 2022 12:09:06 UTC (11 KB)
[v3] Sun, 9 Oct 2022 20:00:30 UTC (11 KB)
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