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Intelligent Comparisons II: Operator Inequalities and Approximations

  • Book
  • © 2017

Overview

Authors:
  1. George A. Anastassiou

    1. Department of Mathematical Sciences, University of Memphis, Memphis, USA

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  • Presents the author’s recent and original work in self-contained chapters that can be read independently
  • Focuses on self-adjoint operators, well-known inequalities, and approximation theory of Korovkin type in a Hilbert space environment
  • The first book to study these topics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Computational Intelligence (SCI, volume 699)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Self Adjoint Operator Korovkin Type Quantitative Approximation Theory

    • George A. Anastassiou
    Pages 1-27

  3. Self Adjoint Operator Korovkin and Polynomial Direct Approximations with Rates

    • George A. Anastassiou
    Pages 29-45

  4. Quantitative Self Adjoint Operator Other Direct Approximations

    • George A. Anastassiou
    Pages 47-60

  5. Fractional Self Adjoint Operator Poincaré and Sobolev Inequalities

    • George A. Anastassiou
    Pages 61-80

  6. Self Adjoint Operator Ostrowski Inequalities

    • George A. Anastassiou
    Pages 81-95

  7. Integer and Fractional Self Adjoint Operator Opial Inequalities

    • George A. Anastassiou
    Pages 97-110

  8. Self Adjoint Operator Chebyshev-Grüss Inequalities

    • George A. Anastassiou
    Pages 111-130

  9. Ultra General Fractional Self Adjoint Operator Representation Formulae and Operator Poincaré and Sobolev and Other Basic Inequalities

    • George A. Anastassiou
    Pages 131-177

  10. Harmonic Self Adjoint Operator Chebyshev-Grüss Type Inequalities

    • George A. Anastassiou
    Pages 179-200

  11. Ultra General Self Adjoint Operator Chebyshev-Grüss Type Inequalities

    • George A. Anastassiou
    Pages 201-219

  12. About a Fractional Means Inequality

    • George A. Anastassiou
    Pages 221-224
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Keywords

About this book

This compact book focuses on self-adjoint operators’ well-known named inequalities and Korovkin approximation theory, both in a Hilbert space environment. It is the first book to study these aspects, and all chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references for further reading.


The book’s results are expected to find applications in many areas of pure and applied mathematics. Given its concise format, it is especially suitable for use in related graduate classes and research projects. As such, the book offers a valuable resource for researchers and graduate students alike, as well as a key addition to all science and engineering libraries.

Authors and Affiliations

  • Department of Mathematical Sciences, University of Memphis, Memphis, USA

    George A. Anastassiou

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