Abstract
We focus on the improvements for Young inequality. We give elementary proof for known results by Dragomir, and we give remarkable notes and some comparisons. Finally, we give new inequalities which are extensions and improvements for the inequalities shown by Dragomir.
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References
Dragomir, S.S.: A note on Young’s inequality. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A. Math. 111, 349–354 (2017)
Dragomir, S.S.: On new refinements and reverse of Young’s operator inequality. arXiv:1510.01314v1
Furuichi, S., Minculete, N.: Alternative reverse inequalities for Young’s inequality. J. Math. Inequal. 5, 595–600 (2011)
Zuo, H., Shi, G., Fujii, M.: Refined Young inequality with Kantorovich constant. J. Math. Inequal. 5, 551–556 (2011)
Liao, W., Wu, J., Zhao, J.: New versions of reverse Young and Heinz mean inequalities with the Kantorovich constant. Taiwan. J. Math. 19, 467–479 (2015)
Furuichi, S., Moradi, H.R.: Operator inequalities among arithmetic mean, geometric mean and harmonic mean. II. arXiv:1705.02185
Acknowledgements
The author was partially supported by JSPS KAKENHI Grant Number 16K05257.
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Furuichi, S. Further improvements of Young inequality. RACSAM 113, 255–266 (2019). https://doi.org/10.1007/s13398-017-0469-5
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DOI: https://doi.org/10.1007/s13398-017-0469-5