Geodesic
New generalized integral inequalities via $(h,m)$-convex modified functions
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 60 (2022), pp. 3-15

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In this article, we establish several inequalities for $(h,m)$-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature.
Keywords: Hermite–Hadamard inequality, Hölder inequality, power mean inequality, weighted integrals, $(m,h)$-convex functions. 
@article{IIMI_2022_60_a0,
     author = {B. Bayraktar and J. E. N\'apoles Vald\'es},
     title = {New generalized integral inequalities via $(h,m)$-convex modified functions},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {3--15},
     publisher = {mathdoc},
     volume = {60},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2022_60_a0/}
}
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B. Bayraktar; J. E. Nápoles Valdés. New generalized integral inequalities via $(h,m)$-convex modified functions. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 60 (2022), pp. 3-15. http://geodesic.mathdoc.fr/item/IIMI_2022_60_a0/