Intelligent Comparisons II: Operator Inequalities and Approximations

✍ Scribed by George A. Anastassiou (auth.)

• Publisher: Springer International Publishing
• Year: 2017
• Tongue: English
• Leaves: 231
• Series: Studies in Computational Intelligence 699
• Edition: 1
• Category: Library

✦ 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

Front Matter....Pages i-xii
Self Adjoint Operator Korovkin Type Quantitative Approximation Theory....Pages 1-27
Self Adjoint Operator Korovkin and Polynomial Direct Approximations with Rates....Pages 29-45
Quantitative Self Adjoint Operator Other Direct Approximations....Pages 47-60
Fractional Self Adjoint Operator Poincaré and Sobolev Inequalities....Pages 61-80
Self Adjoint Operator Ostrowski Inequalities....Pages 81-95
Integer and Fractional Self Adjoint Operator Opial Inequalities....Pages 97-110
Self Adjoint Operator Chebyshev-Grüss Inequalities....Pages 111-130
Ultra General Fractional Self Adjoint Operator Representation Formulae and Operator Poincaré and Sobolev and Other Basic Inequalities....Pages 131-177
Harmonic Self Adjoint Operator Chebyshev-Grüss Type Inequalities....Pages 179-200
Ultra General Self Adjoint Operator Chebyshev-Grüss Type Inequalities....Pages 201-219
About a Fractional Means Inequality....Pages 221-224

✦ Subjects

Computational Intelligence;Artificial Intelligence (incl. Robotics);Approximations and Expansions