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Hadamard type inequalities for m-convex and (α , m)-convex functions [PDF]

open access: possibleJournal of inequalities in pure and applied mathematics, 2008
In this paper we establish several Hadamard type inequalities for differentiable m-convex and (α , m)-convex functions. We also establish Hadamard type inequalities for products of two m-convex or (α , m)-convex functions. Our results generalize some results of B.G. Pachpatte as well as some results of C.E.M. Pearce and J. Pečarić.
ÖZDEMİR, MUHAMET EMİN   +2 more
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M-convex functions and tree metrics

Japan Journal of Industrial and Applied Mathematics, 2004
The authors show that the coefficient matrix of a quadratic \(M\)-convex function can be expressed by the distance matrix of some tree metric and emphasize the tree representation of a quadratic \(M\)-convex function. \textit{A. Dress}, \textit{V. Moulton} and \textit{W. Terhalle} [Eur. J. Comb. 17, No.
Hirai, Hiroshi, Murota, Kazuo
openaire   +1 more source

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