Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Domain Derivatives for Energy Functionals with Boundary Integrals Read chapter Read first chapter

2012 | OriginalPaper | Chapter

On a Continuous Mapping and Sharp Triangle Inequalities

Author : Tomoyoshi Ohwada

Published in: Inequalities and Applications 2010

Publisher: Springer Basel

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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)).

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter The Longest Shortest Piercing
next chapter A Dunkl-Williams Inequality and the Generalized Operator Version
Literature
1.
Ansari, A.H., Moslehian, M.S.: More on reverse triangle inequality in inner products spaces. Int. J. Math. Math. Sci. 2005(18), 2883–2893 (2005) MathSciNetMATH
2.
Dragomir, S.S.: Reverses of the triangle inequality in Banach spaces. JIPAM. J. Inequal. Pure Appl. Math. 6(5), Article 129, 46 pp. (2005) MathSciNetMATH
3.
Dragomir, S.S.: Generalizations of the Pećarić-Rajić inequality in normed linear spaces. Math. Inequal. Appl. 12(1), 53–65 (2009) MathSciNetMATH
4.
Fujii, M., Kato, M., Saito, K.-S., Tamura, T.: Sharp mean triangle inequality. Math. Inequal. Appl. 13(4), 743–752 (2010) MathSciNetMATH
5.
Hsu, C.-Y., Shaw, S.-Y., Wong, H.-J.: Refinements of generalized triangle inequalities. J. Math. Anal. Appl. 344, 17–31 (2008) MathSciNetMATH
6.
Hudzik, H., Landes, T.R.: Characteristic of convexity of Köthe function spaces. Math. Ann. 294, 117–124 (1992) MathSciNetMATH
7.
Kato, M., Saito, K.-S., Tamura, T.: Uniform non-\(\ell^{n}_{1}\)-ness of ψ-direct sums of Banach spaces X⊕ψY. Sūrikaisekikenkyūsho Kōkyūroku 1452, 227–232 (2005)
8.
Kato, M., Saito, K.-S., Tamura, T.: Uniform non-\(\ell^{n}_{1}\)-ness of ψ-direct sums of Banach spaces X⊕ψY. J. Nonlinear Convex Anal. 11(1), 13–33 (2010) MathSciNetMATH
9.
Kato, M., Saito, K.-S., Tamura, T.: Sharp triangle inequality and its reverse in Banach spaces. Math. Inequal. Appl. 10(2), 451–460 (2007) MathSciNetMATH
10.
Martirosyan, M.S., Samarchyan, S.V.: Inversion of the triangle inequality in ℝn. Izv. Nats. Akad. Nauk Armenii Mat. 38(4), 65–72 (2003) (Russian. English, Russian summary), translation in: J. Contemp. Math. Anal. 38(4), 56–61 (2003) MathSciNet
11.
Mineno, K., Nakamura, Y., Nakamura, S., Tamiya, C., Ohwada, T.: On the intermediate value of the triangle inequality and its applications II, in preparation
12.
Mineno, K., Nakamura, Y., Ohwada, T.: Characterization of the intermediate values of the triangle inequality. Math. Inequal. Appl. (to appear)
13.
Mitani, K.-I., Saito, K.-S., Kato, M., Tamura, T.: On sharp triangle inequalities in Banach spaces. J. Math. Anal. Appl. 10(2), 451–460 (2007) MathSciNetMATH
14.
Mitani, K.-I., Saito, K.-S.: On sharp triangle inequalities in Banach spaces II. J. Inequal. Appl. 2010, Article 323609, 17 pp. (2010) MathSciNetMATH
15.
Saitoh, S.: Generalizations of the triangle inequality. JIPAM. J. Inequal. Pure Appl. Math. 4(3), Article 62, 5 pp. (2003) MathSciNetMATH
Metadata
Title
On a Continuous Mapping and Sharp Triangle Inequalities
Author
Tomoyoshi Ohwada
Copyright Year
2012
Publisher
Springer Basel
Book
Inequalities and Applications 2010

Print ISBN: 978-3-0348-0248-2

Electronic ISBN: 978-3-0348-0249-9

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-3-0348-0249-9_9

Premium Partner

    Image Credits