On a Generalization of certain inequalities by Tchebychef and Jensen |
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| Authors: | J F Steffensen |
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| Institution: | Copenhagen , Denmark |
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| Abstract: | Abstract The inequalities dealt with in this paper were published by me in Danish in ?Matematisk Tidsskrift? B. 1925 p. 491. I was not at the time aware, that an inequality of similar form had already been given by JENSEN; but as the conditions under which his theorem is valid differ from mine and are, in fact, included in them, it appears that my investigation is not superfluous. I am reverting to the subject partly in order to clear up the relationship between JENSEN'S and my own results, partly to show, by means of a few examples, how these inequalities may with advantage be applied to actuarial problems. |
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