The weighted reverse Poincare-type estimates for the difference of two convex vectors (CROSBI ID 245798)
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Podaci o odgovornosti
Saleem, Muhammad Sultan ; Pečarić, Josip ; Hussain, Sabir ; Khan, Muhammad Wahab ; Hussain, Abid
engleski
The weighted reverse Poincare-type estimates for the difference of two convex vectors
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
smooth convex vectors ; smooth concave vectors ; vector convolution ; Caccioppoli’s type estimates
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