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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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

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spelling	doaj-8231b3f4c40149b9862784c5db12ceb62020-11-25T00:55:51ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-08-012016111210.1186/s13660-016-1133-xThe weighted reverse Poincaré-type estimates for the difference of two convex vectorsMuhammad Shoaib Saleem0Joseph Pečarić1Sultan Hussain2Muhammad Wahab Khan3Abid Hussain4Department of Mathematics, University of OkaraFaculty of Textile Technology, University of ZagrebDepartment of Mathematics, Comsats Institute of Information TechnologyDepartment of Mathematics, University of OkaraDepartment of Mathematics, University of EducationAbstract 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. These types of estimates are valuable in the problems of financial mathematics for the establishment of the optimal investment strategies.http://link.springer.com/article/10.1186/s13660-016-1133-xsmooth convex vectorssmooth concave vectorsvector convolutionCaccioppoli’s type estimates
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Muhammad Shoaib Saleem Joseph Pečarić Sultan Hussain Muhammad Wahab Khan Abid Hussain
spellingShingle	Muhammad Shoaib Saleem Joseph Pečarić Sultan Hussain Muhammad Wahab Khan Abid Hussain The weighted reverse Poincaré-type estimates for the difference of two convex vectors Journal of Inequalities and Applications smooth convex vectors smooth concave vectors vector convolution Caccioppoli’s type estimates
author_facet	Muhammad Shoaib Saleem Joseph Pečarić Sultan Hussain Muhammad Wahab Khan Abid Hussain
author_sort	Muhammad Shoaib Saleem
title	The weighted reverse Poincaré-type estimates for the difference of two convex vectors
title_short	The weighted reverse Poincaré-type estimates for the difference of two convex vectors
title_full	The weighted reverse Poincaré-type estimates for the difference of two convex vectors
title_fullStr	The weighted reverse Poincaré-type estimates for the difference of two convex vectors
title_full_unstemmed	The weighted reverse Poincaré-type estimates for the difference of two convex vectors
title_sort	weighted reverse poincaré-type estimates for the difference of two convex vectors
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-08-01
description	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. These types of estimates are valuable in the problems of financial mathematics for the establishment of the optimal investment strategies.
topic	smooth convex vectors smooth concave vectors vector convolution Caccioppoli’s type estimates
url	http://link.springer.com/article/10.1186/s13660-016-1133-x
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The weighted reverse Poincaré-type estimates for the difference of two convex vectors

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