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SOME GENERALIZATIONS OF THE FEJ$\'{E}$R AND HERMITE-HADAMARD INEQUALITIES IN H$\"{o}$LDER SPACES
Huy, Vu Nhat,Chung, Nguyen Thanh The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this article, by considering error inequalities, we propose a new way to treat the Fej$\'{e}$r and Hermite-Hadamard inequalities involving n knots and m-th derivative on H$\"{o}$lder spaces. Moreover, some new related estimations are also given.
Iscan, Imdat,Kunt, Mehmet Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.3
In this paper, some Hermite-Hadamard-$Fej{\acute{e}}r$ type integral inequalities for harmonically quasi-convex functions in fractional integral forms have been obtained.
Saima Rashid,Muhammad Aslam Noor,Khalida Inayat Noor 강원경기수학회 2019 한국수학논문집 Vol.27 No.4
In the article, we present several new Hermite-Hadamard and Hermite-Hadamard-Fej\'{e}r type inequalities for the exponentially $(\hbar,\mathfrak{m})$-convex functions via an extended generalized Mittag-Leffler function. As applications, some variants for certain typ e of fractional integral operators are established and some remarkable special cases of our results are also have been obtained.