TY  - BOOK
AU  - Chanillo,Sagun
AU  - Muckenhoupt,Benjamin
TI  - Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series
T2  - Memoirs of the American Mathematical Society
SN  - 9781470400644
AV  - QA404.5 -- .C436 1993eb 
U1  - 515/.55 
PY  - 1993///
CY  - Providence
PB  - American Mathematical Society
KW  - Jacobi series
KW  - Summability theory
KW  - Electronic books
N1  - Intro -- Table of Contents --  1. Introduction --  2. Facts and definitions --  3. An absolute value estimate for 3(1…y) ≤ 2(1…x) --  4. A basic estimate for 3(1…y) ≤ 2(1…x) --  5. A kernel estimate for 3(1…y) ≤ 2(1…x) and …1 ≤ θ ≤ 0 --  6. A reduction lemma --  7. A kernel estimate for 3(1…y) ≤ 2(1…x) and 0 ≥ …1 --  8. A Cesaro kernel estimate for t ≤ s/2 --  9. A basic estimate for separated arguments -- 10. A reduction lemma for separated arguments -- 11. A kernel estimate for separated arguments -- 12. Cesaro kernel estimate for t ≤ s … b -- 13. Cesaro kernel estimate for s near t -- 14. Kernel estimates -- 15. A weak type lemma -- 16. Lemmas for the upper critical value -- 17. Proofs of theorems (1.1) - (1.3) -- 18. Norm estimates for p not between the critical values -- 19. A polynomial norm inequality -- 20. A lower bound for a norm of the kernel -- 21. Some limitations of the basic results -- 22. Growth of Cesaro means -- 23. References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113738
ER  -