Fractional trapezium-like inequalities involving generalized relative semi-$(m, h_1, h_2 )$-preinvex mappings on an $m$-invex set
UDC 517.5 The authors derive a fractional integral equality concerning twice differentiable mappings defined on $m$-invex set. By using this identity, the authors obtain new estimates on generalization of trapezium-like inequalities for mappings whose second order derivatives are generalized relativ...
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| Datum: | 2020 |
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| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6036 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.5
The authors derive a fractional integral equality concerning twice differentiable mappings defined on $m$-invex set. By using this identity, the authors obtain new estimates on generalization of trapezium-like inequalities for mappings whose second order derivatives are generalized relative semi-$(m, h_1, h_2)$-preinvex via fractional integrals. We also discuss some new special cases which can be deduced from our main results. |
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| DOI: | 10.37863/umzh.v72i12.6036 |