UID:
edocfu_9959237264902883
Format:
1 online resource (937 p.)
Edition:
Reprint 2012
ISBN:
1-280-86871-6
,
9786610868711
,
90-474-1193-5
,
3-11-019528-3
Content:
The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development.
Note:
Description based upon print version of record.
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Frontmatter --
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Contents --
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PREFACE /
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PART I --
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1. REGULARITY OF LINEAR METHODS OF SUMMATION OF FOURIER SERIES --
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2. SATURATION OF LINEAR METHODS --
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3. CLASSES OF PERIODIC FUNCTIONS --
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4. INTEGRAL REPRESENTATIONS OF DEVIATIONS OF POLYNOMIALS GENERATED BY LINEAR PROCESSES OF SUMMATION OF FOURIER SERIES --
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5. APPROXIMATION BY FOURIER SUMS IN SPACES C AND L1 --
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BIBLIOGRAPHICAL NOTES (PART I) --
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REFERENCES (PART I) --
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PART II --
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6. CONVERGENCE RATE OF FOURIER SERIES AND THE BEST APPROXIMATIONS IN THE SPACES Lp --
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7. BEST APPROXIMATIONS IN THE SPACES C AND L --
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8. INTERPOLATION --
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9. APPROXIMATIONS IN THE SPACES OF LOCALLY SUMMABLE FUNCTIONS --
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10. APPROXIMATION OF CAUCHY-TYPE INTEGRALS --
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11. APPROXIMATIONS IN THE SPACES Sp --
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12. APPROXIMATIONS BY ZYGMUND AND DE LA VALLÉE POUSSIN SUMS --
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BIBLIOGRAPHICAL NOTES (PART II) --
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REFERENCES (PART II) --
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Index
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Issued also in print.
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English
Additional Edition:
ISBN 3-11-063002-8
Additional Edition:
ISBN 90-6764-427-7
Language:
English
DOI:
10.1515/9783110195286
