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  1. 1. Contributions to the theory of inequalities

    Författare :Anna Wedestig; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : In this thesis we give some new contributions to the theory of inequalities. We discuss and prove some inequalities for C-monotone functions which are closely related to the theory of indices. We prove some new inequalities for increasing functions. We derive and discuss some limiting inequalities of some modern form of Hardy's inequalities. LÄS MER

  2. 2. Weighted inequalities of Hardy-type and their limiting inequalities

    Författare :Anna Wedestig; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This thesis deals with various generalizations of two famous inequalities namely the Hardy inequality and the Pólya-Knopp inequality and the relation between them. In Chapter 1 we give an introduction and overview of the area that serves as a frame for the rest of the thesis. LÄS MER