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
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author Saleem, Muhammad Shoaib
Pečarić, Josip
Rehman, Nasir
Khan, Muhammad Wahab
Zahoor, Muhammad Sajid
author_facet Saleem, Muhammad Shoaib
Pečarić, Josip
Rehman, Nasir
Khan, Muhammad Wahab
Zahoor, Muhammad Sajid
author_sort Saleem, Muhammad Shoaib
collection PubMed
description 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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spelling pubmed-58203812018-02-27 On approximation and energy estimates for delta 6-convex functions Saleem, Muhammad Shoaib Pečarić, Josip Rehman, Nasir Khan, Muhammad Wahab Zahoor, Muhammad Sajid J Inequal Appl Research 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. Springer International Publishing 2018-02-20 2018 /pmc/articles/PMC5820381/ /pubmed/29497266 http://dx.doi.org/10.1186/s13660-018-1637-7 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Saleem, Muhammad Shoaib
Pečarić, Josip
Rehman, Nasir
Khan, Muhammad Wahab
Zahoor, Muhammad Sajid
On approximation and energy estimates for delta 6-convex functions
title On approximation and energy estimates for delta 6-convex functions
title_full On approximation and energy estimates for delta 6-convex functions
title_fullStr On approximation and energy estimates for delta 6-convex functions
title_full_unstemmed On approximation and energy estimates for delta 6-convex functions
title_short On approximation and energy estimates for delta 6-convex functions
title_sort on approximation and energy estimates for delta 6-convex functions
topic Research
url 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
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