On approximation and energy estimates for delta 6-convex functions

Abstract The smooth approximation and weighted energy estimates for delta 6-convex functions are derived in this research. Moreover, we conclude that if 6-convex functions are closed in uniform norm, then their third derivatives are closed in weighted L2 $L^{2}$-norm.

Bibliographic Details
Main Authors: Muhammad Shoaib Saleem, Josip Pečarić, Nasir Rehman, Muhammad Wahab Khan, Muhammad Sajid Zahoor
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1637-7