Ostrowski Type Inequalities Related to the Generalized Baouendi-Grushin Vector Fields

  • Jingbo Dou

    XI'AN University of Finance and Economics, Xian, Shaanxi, China
  • Yazhou Han

    China Jiliang University, Hangzhou, China

Abstract

In this paper, we employ a new method to prove a representation formula related to the generalized Baouendi-Grushin vector fields, and then the Ostrowski type inequalities is established in the ball and bounded domain, respectively, via the representation formula and norm of the horizontal gradient. In addition, in the same spirit, we show the Hardy inequalities with boundary term related to the generalized Baouendi-Grushin vector fields.

Cite this article

Jingbo Dou, Yazhou Han, Ostrowski Type Inequalities Related to the Generalized Baouendi-Grushin Vector Fields. Rend. Sem. Mat. Univ. Padova 129 (2013), pp. 225–244

DOI 10.4171/RSMUP/129-13