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On Some Operator Inequalities with Respect to the s-Convexity

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Abstract

In this paper, we extend the concept of s-convexity from the case where the functions are with real variables to the case where the functions are with operator arguments. Afterwards, we investigate some related properties and operator inequalities. As an application, some inequalities of Hermite-Hadamard and Jensen types involving some operator means are established.

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Acknowledgements

The authors would like to thank the referees for their careful reading of the paper and for their insightful comments and suggestions.

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Correspondence to Mohamed Chergui.

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Tarik, L., Raïssouli, M., Chergui, M. et al. On Some Operator Inequalities with Respect to the s-Convexity. Acta Math Vietnam 48, 671–690 (2023). https://doi.org/10.1007/s40306-023-00519-z

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  • DOI: https://doi.org/10.1007/s40306-023-00519-z

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