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On Some Inequalities of Simpson's Type via h-Convex Functions
h− convex and h− concave functions Simpson抯 Inequality Holder nequality
2012/6/21
In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give...
Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape
Stable unstable regimes higher-dimensional cylindrical shape
2010/12/15
We introduce a class of convex, higher-dimensional billiard models which generalise stadium billiards. These models correspond to the free motion of a point-particle in a region bounded by cylinders c...
Hadamard Type Inequalities for $m$-Convex and $(\alpha,m)$-Convex Functions
$m$-convex functions $(lpha,m)$-convex functions Hadamard's inequalities
2010/1/22
In this paper we establish several Hadamard type inequalities for differentiable -convex and -convex functions. We also establish Hadamard type inequalities for products of two -convex or -convex fu...