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8. INTERPOLATION

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Methods of Approximation Theory
This chapter is in the book Methods of Approximation Theory

Chapters in this book

  1. i-iv i
  2. Contents v
  3. PREFACE xi
  4. PART I
  5. 1. REGULARITY OF LINEAR METHODS OF SUMMATION OF FOURIER SERIES 1
  6. 2. SATURATION OF LINEAR METHODS 79
  7. 3. CLASSES OF PERIODIC FUNCTIONS 101
  8. 4. INTEGRAL REPRESENTATIONS OF DEVIATIONS OF POLYNOMIALS GENERATED BY LINEAR PROCESSES OF SUMMATION OF FOURIER SERIES 165
  9. 5. APPROXIMATION BY FOURIER SUMS IN SPACES C AND L1 187
  10. BIBLIOGRAPHICAL NOTES (PART I) 393
  11. REFERENCES (PART I) 399
  12. PART II
  13. 6. CONVERGENCE RATE OF FOURIER SERIES AND THE BEST APPROXIMATIONS IN THE SPACES Lp 429
  14. 7. BEST APPROXIMATIONS IN THE SPACES C AND L 489
  15. 8. INTERPOLATION 553
  16. 9. APPROXIMATIONS IN THE SPACES OF LOCALLY SUMMABLE FUNCTIONS 597
  17. 10. APPROXIMATION OF CAUCHY-TYPE INTEGRALS 679
  18. 11. APPROXIMATIONS IN THE SPACES Sp 741
  19. 12. APPROXIMATIONS BY ZYGMUND AND DE LA VALLÉE POUSSIN SUMS 847
  20. BIBLIOGRAPHICAL NOTES (PART II) 881
  21. REFERENCES (PART II) 885
  22. Index 917
https://doi.org/10.1515/9783110195286.553

Chapters in this book

  1. i-iv i
  2. Contents v
  3. PREFACE xi
  4. PART I
  5. 1. REGULARITY OF LINEAR METHODS OF SUMMATION OF FOURIER SERIES 1
  6. 2. SATURATION OF LINEAR METHODS 79
  7. 3. CLASSES OF PERIODIC FUNCTIONS 101
  8. 4. INTEGRAL REPRESENTATIONS OF DEVIATIONS OF POLYNOMIALS GENERATED BY LINEAR PROCESSES OF SUMMATION OF FOURIER SERIES 165
  9. 5. APPROXIMATION BY FOURIER SUMS IN SPACES C AND L1 187
  10. BIBLIOGRAPHICAL NOTES (PART I) 393
  11. REFERENCES (PART I) 399
  12. PART II
  13. 6. CONVERGENCE RATE OF FOURIER SERIES AND THE BEST APPROXIMATIONS IN THE SPACES Lp 429
  14. 7. BEST APPROXIMATIONS IN THE SPACES C AND L 489
  15. 8. INTERPOLATION 553
  16. 9. APPROXIMATIONS IN THE SPACES OF LOCALLY SUMMABLE FUNCTIONS 597
  17. 10. APPROXIMATION OF CAUCHY-TYPE INTEGRALS 679
  18. 11. APPROXIMATIONS IN THE SPACES Sp 741
  19. 12. APPROXIMATIONS BY ZYGMUND AND DE LA VALLÉE POUSSIN SUMS 847
  20. BIBLIOGRAPHICAL NOTES (PART II) 881
  21. REFERENCES (PART II) 885
  22. Index 917
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