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 Volume 6, Number 1, 2016, Pages 171-178                                                                DOI：10.11948/2016014 Some new integral inequalities of Hermite-Hadamard type for $\boldsymbol{(\alpha,m;P)}$-convex functions on co-ordinates Shu-Ping Bai,Feng Qi,Shu-Hong Wang Keywords:$(\alpha;m;P)$-convex function on co-ordinates; integral inequality of Hermite--Hadamard type. Abstract: In the paper, the authors introduce the notion $(\alpha,m.P)$-convex function on co-ordinates' and establish new integral inequalities of Hermite--Hadamard type for $(\alpha,m.P)$-convex functions on co-ordinates in a rectangle from the plane $\mathbb{R}_0\times\mathbb{R}$. PDF      Download reader