Methods of Approximation Theory

i-iv -- Contents -- PREFACE -- PART I -- 1. REGULARITY OF LINEAR METHODS OF SUMMATION OF FOURIER SERIES -- 2. SATURATION OF LINEAR METHODS -- 3. CLASSES OF PERIODIC FUNCTIONS -- 4. INTEGRAL REPRESENTATIONS OF DEVIATIONS OF POLYNOMIALS GENERATED BY LINEAR PROCESSES OF SUMMATION OF FOURIER SERIES -- 5. APPROXIMATION BY FOURIER SUMS IN SPACES C AND L1 -- BIBLIOGRAPHICAL NOTES (PART I) -- REFERENCES (PART I) -- PART II -- 6. CONVERGENCE RATE OF FOURIER SERIES AND THE BEST APPROXIMATIONS IN THE SPACES Lp -- 7. BEST APPROXIMATIONS IN THE SPACES C AND L -- 8. INTERPOLATION -- 9. APPROXIMATIONS IN THE SPACES OF LOCALLY SUMMABLE FUNCTIONS -- 10. APPROXIMATION OF CAUCHY-TYPE INTEGRALS -- 11. APPROXIMATIONS IN THE SPACES Sp -- 12. APPROXIMATIONS BY ZYGMUND AND DE LA VALLÉE POUSSIN SUMS -- BIBLIOGRAPHICAL NOTES (PART II) -- REFERENCES (PART II) -- Index