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