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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Induction with Inequalities Involving Nonquasiarithmetic Meansn values are not quasiarithmetic, then the question of what a coherent family of means with a variable number of variables should be has no unique answer. A practicable answer is given by the elevation algorithm ([1], [2]), which produces a mean of n+l variables from one of n variables in a natural

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On Turán-Type Inequalitieseals primarily with a relationship between this inequality and a three-term recurrence relation which can be considered as the generator of the y.. Only a few examples are given here, but many more can be derived just as easily.

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On the Positivity of Circulant and Skew-Circulant Determinantsrculant matrix of A to be positive, or negative, or zero. There is a striking difference between the conditions for n odd and the conditions for n even. The determinant of the skew-circulant matrix of A is similarly discussed.

outer-ear

On Jackson-Type Inequalities in Approximation Theorypolynomials in specific spaces, as well as for the approximation of functions by linear processes. It covers singular convolution integrals, semigroup and resolvent operators, and operators defined via a multiplier structure, with emphasis on the interconnections of Jackson-type inequalities with Vo

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Inequalities Among Operations on Probability Distribution Functions theory of probabilistic metric spaces, in the generalized theory of information, and in other contexts of the theory of probability. It is further shown that, in most cases, equality holds in the inequalities if and only if at least one of the arguments is a unit step function, i.e., that the assoc

morale

Functional Inequalitiesare suitably defined, then the system of linear homogeneous functional inequalities . requires each continuous solution φ to be bounded above by the constant max{0, φ(α)}. If b. and b. are both identically unity, then φ is constant. Relationships are obtained between solutions of a system of linear

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General Inequalities 1 / Allgemeine Ungleichungen 1Proceedings of the F

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