Intelligent Comparisons II: Operator Inequalities and Approximations

✍ Scribed by George A. Anastassiou

Publisher: Springer
Year: 2017
Tongue: English
Leaves: 231
Series: Studies in computational intelligence 699
Edition: 1st ed. 2017
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Content: Preface --
Self Adjoint Operator Korovkin type Quantitative Approximation Theory --
Self Adjoint Operator Korovkin and polynomial direct Approximations with rates --
Quantitative Self Adjoint Operator other Direct Approximations --
Fractional Self Adjoint Operator Poincare and Sobolev Inequalities --
Self Adjoint Operator Ostrowski Inequalities --
Integer and Fractional Self Adjoint Operator Opial Inequalities --
Self Adjoint Operator Chebyshev-Gruss Inequalities --
Ultra General Fractional Self Adjoint Operator Representation formulae and Operator Poincare and Sobolev and other basic Inequalities --
Harmonic Self Adjoint Operator Chebyshev-Gruss type Inequalities --
Ultra general Self Adjoint Operator Chebyshev-Gruss type Inequalities --
About a fractional Means inequality.

✦ Subjects

Inequalities (Mathematics);Approximation theory.

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