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.
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-02-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-018-1637-7 |