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Milne-type integral inequalities for modified ( h, m )-convex functions on fractal sets

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Napoles, J. E.
Guzman, P. M.

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Petrozavodsk State Univ

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In the article, new versions of integral inequalities of Milne type are derived for ( h, m ) -convex modified functions of the second type on fractal sets. Based on a new generalized local fractional weighted integral operator, an identity is established as the foundation for subsequently obtained inequalities. Throughout our study, we obtained certain results known in the literature, which include particular cases of our findings.

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Differentiable mappings, Real numbers, Local fractional derivatives, Local fractional integrals, Fractal sets, Milne inequality, ( h, M )-convex modified functions of second type, Ho<spacing diaeresis>lder inequality, Power mean inequality, Science & technology, Physical sciences, Mathematics

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