The weighted reverse Poincaré-type estimates for the difference of two convex vectors

The weighted reverse Poincaré-type estimates for the difference of two convex vectors

Abstract In this paper we develop Caccioppoli-type estimates for arbitrary convex vectors and the vectors having both convex and concave arguments. To do this, we first develop these estimates for smooth convex vectors and then, through mollification, extend the results for arbitrary convex vectors....

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Bibliographic Details
Main Authors: Muhammad Shoaib Saleem, Joseph Pečarić, Sultan Hussain, Muhammad Wahab Khan, Abid Hussain
Format: Article
Language:English
Published: SpringerOpen 2016-08-01
Series:Journal of Inequalities and Applications
Subjects:
smooth convex vectors
smooth concave vectors
vector convolution
Caccioppoli’s type estimates
Online Access:http://link.springer.com/article/10.1186/s13660-016-1133-x

Internet

http://link.springer.com/article/10.1186/s13660-016-1133-x

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