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On a Continuous Mapping and Sharp Triangle Inequalities

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Inequalities and Applications 2010

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 161))

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Abstract

This is a survey on some recent results concerning the sharp triangle inequalities. Our results refine and generalize the corresponding ones in (Kato et al. in Math. Inequal. Appl. 10(2), 451–460 (2007)) and (Mitani et al. in J. Math. Anal. Appl. 10(2), 451–460 (2007)).

Partly supported by the Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science (22540184).

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References

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Acknowledgements

The author would like to thank the Organizers of the Symposium for their invitation and hospitality.

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Authors and Affiliations

  1. Faculty of Education, Shizuoka University, Shizuoka, 422-8529, Japan

    Tomoyoshi Ohwada

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  1. Tomoyoshi Ohwada
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Correspondence to Tomoyoshi Ohwada .

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Editors and Affiliations

  1. Institute of Mathematics, University of Basel, Rheinsprung 21, Basel, 4051, Switzerland

    Catherine Bandle

  2. Faculty of Informatics, University of Debrecen, Pf. 12, Debrecen, 4010, Hungary

    Attila Gilányi

  3. Department of Economic Analysis, and Information Technology for Business, University of Debrecen, Kassai út 26, Debrecen, 4028, Hungary

    László Losonczi

  4. , Institute of Analysis, KIT, Kaiserstr. 12, Karlsruhe, 76128, Germany

    Michael Plum

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Ohwada, T. (2012). On a Continuous Mapping and Sharp Triangle Inequalities. In: Bandle, C., Gilányi, A., Losonczi, L., Plum, M. (eds) Inequalities and Applications 2010. International Series of Numerical Mathematics, vol 161. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0249-9_9

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