Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/27046
Title: | New inequalities for η-quasiconvex function |
Author: | Nwaeze, Eze R. Torres, Delfim F. M. |
Keywords: | Ostrowski inequality η-quasiconvexity Hölder’s inequality |
Issue Date: | 2019 |
Publisher: | Springer |
Abstract: | The class of η-quasiconvex functions was introduced in 2016. Here we establish novel inequalities of Ostrowski type for functions whose second derivative, in absolute value raised to the power q ≥ 1, is η-quasiconvex. Several interesting inequalities are deduced as special cases. Furthermore, we apply our results to the arithmetic, geometric, Harmonic, logarithmic, generalized log and identric means, getting new relations amongst them. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/27046 |
DOI: | 10.1007/978-3-030-28950-8_22 |
ISBN: | 978-3-030-28949-2 |
Appears in Collections: | CIDMA - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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[416]Nwaeze_Torres.pdf | 208.54 kB | Adobe PDF |
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