Integral inequalities of the Hermite – Hadamard type for $K$ -bounded norm convex mappings
We obtain some inequalities of the Hermite – Hadamard type for $K$-bounded norm convex mappings between two normed spaces. The applications for twice differentiable functions in Banach spaces and functions defined by power series in Banach algebras are presented. Some discrete Jensen-type inequaliti...
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| Date: | 2016 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1924 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We obtain some inequalities of the Hermite – Hadamard type for $K$-bounded norm convex mappings between two normed
spaces. The applications for twice differentiable functions in Banach spaces and functions defined by power series in
Banach algebras are presented. Some discrete Jensen-type inequalities are also obtained. |
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