Search for dissertations about: "mathematical constants"

Showing result 1 - 5 of 27 swedish dissertations containing the words mathematical constants.

  2. 1. On estimates of constants for maximal functions

    Author : Alexander Iakovlev; Jan-Ofov Strömberg; Tuomas Hytönen; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; maximal function; harmonic analysis;

    Abstract : In this work we will study Hardy-Littlewood maximal function and maximal operator, basing on both classical and most up to date works. In the first chapter we will give definitions for different types of those objects and consider some of their most important properties. READ MORE

  4. 2. Some New Contributions in the Theory of Hardy Type Inequalities

    Author : Markos Fisseha Yimer; Sorina Barza; Lars-Erik Persson; Martin Lind; Liviu-Gabriel Marcoci; Lubos Pick; Karlstads universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE

  5. 3. Some mathematical, numerical and engineering aspects of composite structures and perforated solids

    Author : Guy Beeri; Gregory Chechkin; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : In this doctoral thesis in engineering mathematics we present some new modeling, numerical and engineering aspects and results concerning composite structures and perforated solids.The thesis consists of five papers, which are divided into three parts. READ MORE

  6. 4. On Invertibility of the Radon Transform and Compressive Sensing

    Author : Joel Andersson; Jan-Olov Strömberg; Mikko Salo; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Radon transform; invertibility; compressive sensing; stability estimates; Mathematics; Matematik;

    Abstract : This thesis contains three articles. The first two concern inversion andlocal injectivity of the weighted Radon transform in the plane. The thirdpaper concerns two of the key results from compressive sensing.In Paper A we prove an identity involving three singular double integrals. READ MORE

  7. 5. Mathematical Modelling of Insulin Signalling : Effects on Glucose Metabolism in Skeletal Muscle

    Author : Peter Sögård; Högskolan i Skövde; Karolinska Institutet; Karolinska Institutet; []
    Keywords : Naturvetenskap; Natural sciences;

    Abstract : The use of models to understand complex phenomena is indispensable to the scientific community. The advantage of a model is that it simplifies the phenomena under study. However, a model should be only as complex as required, no more, no less. READ MORE