Integral inequalities of Simpson type via weighted integrals

J. E. Nápoles ; M. N. Quevedo Cubillos ; B. Bayraktar

Problemy analiza, Tome 12 (2023) no. 2, pp. 68-86.

Résumé

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.

Détail

Keywords: convex fuction, inequality of Simpson, weighted integral operator, $(h, s)$-convex function, Hadamard-type inequality, Hölder inequality, power mean inequality.
Mots-clés : m

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