Sökning: "Hardy-type inequality"

Visar resultat 1 - 5 av 14 avhandlingar innehållade orden Hardy-type inequality.

  1. 1. Some New Contributions in the Theory of Hardy Type Inequalities

    Författare :Markos Fisseha Yimer; Sorina Barza; Lars-Erik Persson; Martin Lind; Liviu-Gabriel Marcoci; Lubos Pick; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; integral inequalities; Hardy-type inequalities; Pólya-Knopp’s inequality; Jensen’s inequality; Minkowski’s inequality; Beckenbach-Dresher’s inequality; sharp constants; measures; superquadratic functions; refinements; Banach function spaces; Matematik; Mathematics;

    Sammanfattning : In this thesis we derive various generalizations and refinements of some classical inequalities in different function spaces. We consider some of the most important inequalities namely the Hardy, Pólya-Knopp, Jensen, Minkowski and Beckenbach-Dresher inequalities. The main focus is put on the Hardy and their limit Pólya-Knopp inequalities. LÄS MER

  3. 2. Hardy-type inequalities on cones of monotone functions

    Författare :Olga Popova; Lyudmila Turowska; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Mathematics; Matematik;

    Sammanfattning : This Licentiate thesis deals with Hardy-type inequalities restricted to cones of monotone functions. The thesis consists of two papers (paper A and paper B) and an introduction which gives an overview to this specific field of functional analysis and also serves to put the papers into a more general frame. LÄS MER

  4. 3. 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

  5. 4. Weighted inequalities involving Hardy-type and limiting geometric mean operators

    Författare :Maria Nassyrova; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This thesis consists of an introduction and five papers, which all are devoted to different questions connected to weighted Hardy-type inequalities and their generalizations. The introduction gives an elementary overview of the area and serves as a frame for the following papers. In particular, it is pointed out where the obtained results fit in. LÄS MER

  7. 5. Carleman type inequalities and Hardy type inequalities for monotone functions

    Författare :Maria Johansson; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Matematik; Mathematics; Mathematics Education; Matematik och lärande;

    Sammanfattning : This Ph.D. thesis deals with various generalizations of the inequalities by Carleman, Hardy and Polya-Knopp. 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