Some remarks on local fractional integral inequalities involving Mittag–Leffler kernel using generalized (E, h)-convexity
In the present work, we introduce two new local fractional integral operators involving Mittag–Leffler kernel on Yang’s fractal sets. Then, we study the related generalized Hermite– Hadamard-type inequality using generalized (E, h)-convexity and obtain two identities pertaining to these operators,...
| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Multidisciplinary Digital Publishing Institute
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/109222/ |
| Summary: | In the present work, we introduce two new local fractional integral operators involving Mittag–Leffler kernel on Yang’s fractal sets. Then, we study the related generalized Hermite–
Hadamard-type inequality using generalized (E, h)-convexity and obtain two identities pertaining to
these operators, and the respective first- and second-order derivatives are given. In terms of applications, we provide some new generalized trapezoid-type inequalities for generalized (E, h)-convex
functions. Finally, some special cases are deduced for different values of δ, E, and h. |
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