Geodesic
The weighted Hardy operators and quasi-monotone functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 318-325.

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Some Hardy-type inequalities are established by W. T. Sulaiman. The aim of this work is to extend these inequalities for weighted Hardy operators with quasi-monotone functions. Moreover some new integral weighted inequalities were obtained.
Keywords: inequalities, Hardy's operator, quasi-monotones functions. 
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Abdelkader Senouci; Abdelkader Zanou. The weighted Hardy operators and quasi-monotone functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 318-325. http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a2/

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[2] G.H.Hardy, Notes on a theorem of Hilbert, Math. Z., 6 (1920), 314–317 | DOI | MR

[3] M.L.Goldman, Hardy type inequalities on the cone of quasimonotone functions, Research Report No 98/31, Computer Center Far Eastern Branch of the Russian Academy of Sciencese, Khabarovsk, 1998, 69 pp.

[4] W.T.Sulaiman, “Hardy type inequalities”, Applied Mathematics Letters, 25 (2012), 520–525 | DOI | MR | Zbl