Korovkin-type Approximation Theory and Its Applications
eBook - PDF

Korovkin-type Approximation Theory and Its Applications

  1. 638 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Korovkin-type Approximation Theory and Its Applications

About this book

No detailed description available for "Korovkin-type Approximation Theory and Its Applications".

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Korovkin-type Approximation Theory and Its Applications by Francesco Altomare,Michele Campiti in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
Print ISBN
9783110141788
eBook ISBN
9783110884586
Edition
1
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Introduction
  2. Interdependence of sections
  3. Notation
  4. Chapter 1. Preliminaries
  5. 1.1 Topology and analysis
  6. 1.2 Radon measures
  7. * 1.3 Some basic principles of probability theory
  8. 1.4 Selected topics on locally convex spaces
  9. * 1.5 Integral representation theory for convex compact sets
  10. * 1.6 Co-Semigroups of operators and abstract Cauchy problems
  11. Chapter 2. Korovkin-type theorems for bounded positive Radon measures
  12. 2.1 Determining subspaces for bounded positive Radon measures
  13. 2.2 Determining subspaces for discrete Radon measures
  14. 2.3 Determining subspaces and Chebyshev systems
  15. 2.4 Convergence subspaces associated with discrete Radon measures
  16. 2.5 Determining subspaces for Dirac measures
  17. 2.6 Choquet boundaries
  18. Chapter 3. Korovkin-type theorems for positive linear operators
  19. 3.1 Korovkin closures and Korovkin subspaces for positive linear operators
  20. 3.2 Special properties of Korovkin closures
  21. 3.3 Korovkin subspaces for positive projections
  22. 3.4 Korovkin subspaces for finitely defined operators
  23. Chapter 4. Korovkin-type theorems for the identity operator
  24. 4.1 Korovkin closures and Korovkin subspaces for the identity operator
  25. 4.2 Strict Korovkin subsets. Korovkin’s theorems
  26. 4.3 Korovkin closures and state spaces. Spaces of parabola-like functions
  27. 4.4 Korovkin closures and Stone-Weierstrass theorems
  28. 4.5 Finite Korovkin sets
  29. Chapter 5. Applications to positive approximation processes on real intervals
  30. 5.1 Moduli of continuity and degree of approximation by positive linear operators
  31. 5.2 Probabilistic methods and positive approximation processes
  32. 5.3 Discrete-type approximation processes
  33. 5.4 Convolution operators and summation processes
  34. Chapter 6. Applications to positive approximation processes on convex compact sets
  35. 6.1 Positive approximation processes associated with positive projections
  36. 6.2 Positive projections and their associated Feller semigroups
  37. 6.3 Miscellaneous examples and degenerate diffusion equations on convex compact subsets of ℝP
  38. Appendices
  39. A. Korovkin-type approximation theory on commutative Banach algebras
  40. A.1 Universal Korovkin-type approximation theory on commutative Banach algebras
  41. A.2 Commutative group algebras
  42. A.3 Finitely generated commutative Banach algebras and polydisk algebras
  43. A.4 Generalized analytic functions and algebras generated by inner functions
  44. A.5 Extreme spectral states and the Gleason-Kahane-Zelazko property
  45. B. Korovkin-type approximation theory on C*-algebras
  46. B.1 Approximation by positive linear functionals
  47. B.2 Approximation by positive linear operators
  48. C. A list of determining sets and Korovkin sets
  49. C.1 Determining sets in C0(X) (X locally compact Hausdorff space)
  50. C.2 Determining sets in C(X) (X compact)
  51. C.3 Korovkin sets in C0(X) (X locally compact Hausdorff space)
  52. C.4 Korovkin sets in C(X) (X compact Hausdorff space)
  53. C.5 Korovkin sets in Lp(Χ,μ)-spaces
  54. D. A subject classification of Korovkin-type approximation theory with a subject index
  55. D.1 Subject classification (SC)
  56. D.2 Subject index
  57. Bibliography
  58. Symbol index
  59. Subject index