Turkish Journal of Mathematics
Abstract
In this paper, we develop the weighted energy estimates for arbitrary 4-convex vectors and the vectors having both 4-convex and 4-concave functions as their arguments. To do this, we first develop these estimates for smooth 4-convex vectors and then, through mollification, extend the results for arbitrary 4-convex vectors. This type of estimates are valuable in problems of financial mathematics for the establishment of optimal investment strategies
DOI
10.3906/mat-1606-51
Keywords
Smooth convex vectors, smooth concave vectors, vector convolution
First Page
2091
Last Page
2100
Recommended Citation
SALEEM, M. S, PECARIC, J, REHMAN, H. U, MUNIR, M, & KHAN, M. W (2018). If $4$-convex vectors are closed in uniform norms then their second derivatives are also closed in weighted $L^2$-norm. Turkish Journal of Mathematics 42 (5): 2091-2100. https://doi.org/10.3906/mat-1606-51
