Ostrowski type inequalities on H-type groups

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:365

Article

Lian, Bao-Sheng¹  Yang, Qiao-Hua² 

[1] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430065, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

关键词: Heisenberg type groups;    Ostrowski inequality;    Carnot-Caratheodory distance;   

DOI  :  10.1016/j.jmaa.2009.10.030

来源: Elsevier

【 摘 要 】

The main aim of this paper is to establish an Ostrowski type inequality on H-type groups using the L(infinity) norm of the horizontal gradient. The work has been motivated by the work of Anastassiou and Goldstein in [G.A. Anastassiou, J.A. Goldstein, Higher order Ostrowski type inequalities over Euclidean domains, J. Math. Anal. Appl. 337 (2008) 962-968]. (c) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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