New inequalities for η-quasiconvex function
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 app...
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| Format: | bookPart |
| Language: | eng |
| Published: |
2019
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| Online Access: | http://hdl.handle.net/10773/27046 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/27046 |
| Summary: | 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. |
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