Sökning: "integral inequalities"

Visar resultat 1 - 5 av 27 avhandlingar innehållade orden integral inequalities.

  1. 1. Some sharp multidimensional integral inequalities

    Författare :Sorina Barza; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : .... LÄS MER

  3. 2. 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

  4. 3. Weighted multidimensional integral inequalities and applications

    Författare :Sorina Barza; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : In this thesis some new weighted integral inequalities for monotone functions in higher dimensions are proved. These results extend previous results in one dimension, and also those in higher dimensions for particular choices of the weights (power weights, etc.). All inequalities are sharp. LÄS MER

  5. 4. Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs

    Författare :Staffan Lundberg; Norway Narvik UiT The Arctic University of Norway Department of Computer Science and Computational Engineering Faculty of Science and Technology; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Operators; Hardy Operators; Potential Operators; Singular Operators; Function Spaces; Morrey Spaces; H¨older Spaces; Partial Differential Equations; Inequalities; Hardy Type Inequalities; Weights; Applications; Matematik; Mathematics;

    Sammanfattning : The study in this PhD thesis aims at development of certain mathematical methods used in applications, in particular, in the study of regularity properties of solutions in various mathematical models described by Partial Differential Equations (PDEs). To this end, we study various operators of harmonic analysis in certain function spaces, since solutions to many PDEs may be expressed in terms of such operators. LÄS MER

  7. 5. New weighted inequalities with applications to pseudodifferential operators

    Författare :Stefan Eilertsen; Per-Anders Ivert; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Weighted integral inequalities; fractional Laplacian; Dirichlet problem; behavior near the boundary; special functions;

    Sammanfattning : This thesis is devoted to weighted integral inequalities and their applications to the  study of boundary behavior of solutions to Dirichlet's problem for fractional powers of the Laplacian.We obtain a necessary and sufficient condition on μ for the operator (—Δ)μin R 0 , 0 ... LÄS MER