Generalized Dunkl-Williams inequality in 2-inner product spaces

Abbas Najati; M. Mohammadi Saem; Jae Hyeong Bae

doi:10.1186/1029-242X-2013-36

Generalized Dunkl-Williams inequality in 2-inner product spaces

Abbas Najati
, M. Mohammadi Saem
, Jae Hyeong Bae

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We consider the generalized Dunkl-Williams inequality in 2-normed spaces. Also, we give necessary and sufficient conditions for having the equality case in the strictly convex 2-normed space X.

Original language	English
Article number	36
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-36
Publication status	Published - Dec 2013

Bibliographical note

Funding Information:
The authors wish to thank the anonymous referees for their valuable comments. This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (grant number 2012003499).

Keywords

2-inner product spaces
2-normed spaces
Dunkl-William inequality
Maligranda inequality
Strictly convex

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10.1186/1029-242X-2013-36

Cite this

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title = "Generalized Dunkl-Williams inequality in 2-inner product spaces",

abstract = "We consider the generalized Dunkl-Williams inequality in 2-normed spaces. Also, we give necessary and sufficient conditions for having the equality case in the strictly convex 2-normed space X.",

keywords = "2-inner product spaces, 2-normed spaces, Dunkl-William inequality, Maligranda inequality, Strictly convex",

author = "Abbas Najati and Saem, \{M. Mohammadi\} and Bae, \{Jae Hyeong\}",

note = "Funding Information: The authors wish to thank the anonymous referees for their valuable comments. This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (grant number 2012003499). ",

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AU - Najati, Abbas

AU - Saem, M. Mohammadi

AU - Bae, Jae Hyeong

N1 - Funding Information: The authors wish to thank the anonymous referees for their valuable comments. This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (grant number 2012003499).

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N2 - We consider the generalized Dunkl-Williams inequality in 2-normed spaces. Also, we give necessary and sufficient conditions for having the equality case in the strictly convex 2-normed space X.

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KW - 2-inner product spaces

KW - 2-normed spaces

KW - Dunkl-William inequality

KW - Maligranda inequality

KW - Strictly convex

UR - https://www.scopus.com/pages/publications/84894255125

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DO - 10.1186/1029-242X-2013-36

M3 - Article

AN - SCOPUS:84894255125

SN - 1025-5834

VL - 2013

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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ER -

Generalized Dunkl-Williams inequality in 2-inner product spaces

Abstract

Bibliographical note

Keywords

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