Functional Calculus
eBook - PDF

Functional Calculus

  1. 202 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Functional Calculus

About this book

The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book.

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Yes, you can access Functional Calculus by Kamal Shah,Baver Okutmu?tur,Baver Okutmuştur, Kamal Shah, Baver Okutmuştur in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
IntechOpen
Year
2020
Print ISBN
9781838800079
eBook ISBN
9781838809041
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Functional Calculus
  2. Contents
  3. Preface
  4. Chapter1 Determinantal Representations of the Core Inverse and Its Generalizations
  5. Chapter2 New Matrix Series Formulae for Matrix Exponentials and for the Solution of Linear Systems of Algebraic Equations
  6. Chapter3 Fixed PointTheorems of a New Generalized Nonexpansive Mapping
  7. Chapter4 Folding on the Chaotic Graph Operations and Their Fundamental Group
  8. Chapter5 A Survey on Hilbert Spaces and Reproducing Kernels
  9. Chapter6 Analytical Applications on Some Hilbert Spaces
  10. Chapter7 Spectral Observations of PM10 Fluctuations in the Hilbert Space
  11. Chapter8 Optimal Control of Evolution Differential Inclusions with Polynomial Linear Differential Operators
  12. Chapter9 Spectral Analysis and Numerical Investigation of a Flexible Structure with Nonconservative Boundary Data
  13. Chapter10 Integral Inequalities and Differential Equations via Fractional Calculus
  14. Chapter11 Approximate Solutions of Some BoundaryValue Problems by Using Operational Matrices of Bernstein Polynomials