Fractional integral inequalities for generalized- $$\mathbf{m }$$ m - $$((h_{1}^{p},h_{2}^{q});(\eta _{1},\eta _{2}))$$ ( ( h 1 p , h 2 q ) ; ( η 1 , η 2 ) ) -convex mappings via an extended generalized Mittag–Leffler function
Abstract The authors discover a new identity concerning differentiable mappings defined on $$\mathbf{m }$$ m -invex set via general fractional integrals. Using the obtained identity as an auxiliary result, some fractional integral inequalities for generalized- $$\mathbf{m }$$ m - $$((h_{1}^{p},h_{2}...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-12-01
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| Series: | Arabian Journal of Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40065-019-00275-9 |
| Summary: | Abstract The authors discover a new identity concerning differentiable mappings defined on $$\mathbf{m }$$ m -invex set via general fractional integrals. Using the obtained identity as an auxiliary result, some fractional integral inequalities for generalized- $$\mathbf{m }$$ m - $$((h_{1}^{p},h_{2}^{q});(\eta _{1},\eta _{2}))$$ ( ( h 1 p , h 2 q ) ; ( η 1 , η 2 ) ) -convex mappings by involving an extended generalized Mittag–Leffler function are presented. It is pointed out that some new special cases can be deduced from main results. Also these inequalities have some connections with known integral inequalities. At the end, some applications to special means for different positive real numbers are provided as well. |
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| ISSN: | 2193-5343 2193-5351 |