On approximation and energy estimates for delta 6-convex functions

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 [Formula: see text] -norm.

Detalles Bibliográficos
Autores principales: Saleem, Muhammad Shoaib, Pečarić, Josip, Rehman, Nasir, Khan, Muhammad Wahab, Zahoor, Muhammad Sajid
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5820381/
https://www.ncbi.nlm.nih.gov/pubmed/29497266
http://dx.doi.org/10.1186/s13660-018-1637-7
Descripción
Sumario: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 [Formula: see text] -norm.

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