@article {
author = {Yasin, Sabir and Misiran, Masnita and Omar, Zurni},
title = {Extended Hermite-Hadamard $(H-H)$ and Fejer's inequalities based on $(h_1,h_2,s)$-convex functions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {13},
number = {1},
pages = {2885-2895},
year = {2022},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2022.6015},
abstract = {In this paper, $(h_1,h_2)$-convex and $s$-convex functions are merged to form $(h_1,h_2,s)$-convex function. Inequalities of the Hermite-Hadamard (H-H) and Fejer's types will then be extended by using the $(h_1,h_2,s)$-convex function and its derivatives. Some special cases for these extended H-H and Fejer's inequalities are also explored in order to get the previously specified results. The relationship between newly constructed Hermite-Hadamard $(H-H)$ and Fejer's types of inequalities with the average (mean) values are also discussed.},
keywords = {inequality,Hermite-Hadamard (H-H),Fejer,convex function},
url = {https://ijnaa.semnan.ac.ir/article_6015.html},
eprint = {https://ijnaa.semnan.ac.ir/article_6015_f31de2ea969c8c698a5215bea39db2ce.pdf}
}