Geodesic
Integral inequalities of Simpson type via weighted integrals
Problemy analiza, Tome 12 (2023) no. 2, pp. 68-86

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In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of $(h, m, s)$-convex functions of the second type. In the work we show that the obtained results include some known from the literature, as particular cases.
Keywords: convex fuction, inequality of Simpson, weighted integral operator, $(h, s)$-convex function, Hadamard-type inequality, Hölder inequality, power mean inequality.
Mots-clés : m 
@article{PA_2023_12_2_a4,
     author = {J. E. N\'apoles and M. N. Quevedo Cubillos and B. Bayraktar},
     title = {Integral inequalities of {Simpson} type via weighted integrals},
     journal = {Problemy analiza},
     pages = {68--86},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PA_2023_12_2_a4/}
}
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J. E. Nápoles; M. N. Quevedo Cubillos; B. Bayraktar. Integral inequalities of Simpson type via weighted integrals. Problemy analiza, Tome 12 (2023) no. 2, pp. 68-86. http://geodesic.mathdoc.fr/item/PA_2023_12_2_a4/