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Titlebook: General Inequalities 1 / Allgemeine Ungleichungen 1; Proceedings of the F E. F. Beckenbach Conference proceedings 1978 Springer Basel AG 19

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https://doi.org/10.1007/978-1-4419-9286-4Five axioms which play a role in the theory of the price index are introduced in the form of inequalities and functional equations. It is shown that there exists a subset of four of these axioms which are independent and which imply the fifth one.
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Color and Appearance in DentistryThe literature contains results on the relation between the smoothness of a real function f of several real variables and the degree of approximation to f by splines. The purpose of the present note is to study two elementary cases and to derive the corresponding results by simple methods, allowing the range of f to lie in a general space.
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https://doi.org/10.1007/978-3-7643-8286-5A simple bound is obtained for the measures of certain sets in product spaces. The bound is a kind of Chernoff bound.
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https://doi.org/10.1007/978-1-4020-9545-0Let (D, +) be a subsemigroup of (ℝ., +). This paper is concerned with some properties of functions f: D → ℝ fulfilling the subadditivity condition f(x + y) ≤ f(x) + f(y) for almost all pairs (x, y) ∈ D..
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