text.skipToContent text.skipToNavigation

Hardy Type Inequalities on Time Scales von Agarwal, Ravi (eBook)

  • Erscheinungsdatum: 21.11.2016
  • Verlag: Springer-Verlag
eBook (PDF)
107,09 €
inkl. gesetzl. MwSt.
Sofort per Download lieferbar

Online verfügbar

Hardy Type Inequalities on Time Scales

The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h 0, T = qN for q 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors' knowledge this is the first book devoted to Hardy-type inequalities and their extensions on time scales.

Ravi P. Agarwal Department of Mathematics, Texas A&M University-Kingsville Kingsville, Texas, USA.
Donal O'Regan School of Mathematics, Statistics and Applied Mathematics National University of Ireland Galway, Ireland.
Samir H. Saker Department of Mathematics, Mansoura University Mansoura, Egypt. The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h 0, T = qN for q 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors' knowledge this is the first book devoted to Hardy-type inequalities and their extensions on time scales.

Ravi P. Agarwal Department of Mathematics, Texas A&M University-Kingsville Kingsville, Texas, USA.
Donal O'Regan School of Mathematics, Statistics and Applied Mathematics National University of Ireland Galway, Ireland.
Samir H. Saker Department of Mathematics, Mansoura University Mansoura, Egypt.

Produktinformationen

    Format: PDF
    Kopierschutz: AdobeDRM
    Seitenzahl: 305
    Erscheinungsdatum: 21.11.2016
    Sprache: Englisch
    ISBN: 9783319442990
    Verlag: Springer-Verlag
    Größe: 3346kBytes
Weiterlesen weniger lesen

Kundenbewertungen