Article 2023 · 8 atıf

On new general inequalities for <i>s</i>-convex functions and their applications

Yildiz, Cetin, Yergoz, Busra, Yergoz, Abdulvahit

Özet

In this work, we established some new general integral inequalities of Hermite-Hadamard type for s-convex functions. To obtain these inequalities, we used the Holder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem 6 and Theorem 8). Finally, we gave some applications for special means.

Anahtar Kelimeler

s-Convex function Hermite-Hadamard inequality Holder inequality Power-mean integral inequality HADAMARD-TYPE INEQUALITIES HERMITE-HADAMARD DERIVATIVES

WoS Kategorileri

Mathematics, Applied Mathematics

Künye

Dergi: JOURNAL OF INEQUALITIES AND APPLICATIONS
Yıl: 2023
Cilt: 2023
Sayı: 1
ISSN: 1029-242X
DOI: 10.1186/s13660-023-02914-4
WoS UID: WOS:000917172000001

Yayını aç (DOI)