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- W4297575785 abstract "We give a refined Young inequality which generalizes the inequality by Zou--Jiang. We also show the upper bound for the logarithmic mean by the use of the weighted geometric mean and the weighted arithmetic mean. Furthermore, we show some inequalities among the weighted means. Based on the obtained essential scalar inequalities, we give some operator inequalities. In particular, we give a generalization of the result by Zou--Jiang, that is, we show the operator inequalities with the operator relative entropy with the weighted parameter. Finally, we give the further generalized inequalities by the Tsallis operator relative entropy." @default.
- W4297575785 created "2022-09-29" @default.
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- W4297575785 date "2021-10-29" @default.
- W4297575785 modified "2023-09-27" @default.
- W4297575785 title "More results on weighted means" @default.
- W4297575785 doi "https://doi.org/10.48550/arxiv.2111.01128" @default.
- W4297575785 hasPublicationYear "2021" @default.
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