Upper and lower estimates on the rate of convergence of approximations in $H_p$

Author:
Frank Stenger

Journal:
Bull. Amer. Math. Soc. **84** (1978), 145-148

MSC (1970):
Primary 65D30, 65D15; Secondary 65D05, 65D15, 65D25

DOI:
https://doi.org/10.1090/S0002-9904-1978-14446-2

MathSciNet review:
0474714

Full-text PDF

References | Similar Articles | Additional Information

**1.**A. A. Goncar,*On the rapidity of rational approximation of continuous functions with characteristic singularities*, Math. USSR-Sb. 2 (1967), 561-568. MR**214982****2.**S. Haber,*The error in the numerical integration of analytic functions*, Quart. Appl. Math. 29 (1971), 411-420. MR**436553****3.**L. W. Johnson and R. D. Riess,*Minimal quadratures for functions of low order continuity*, Math. Comp. 25 (1971), 831-835. MR**298940****4.**H. L. Loeb and H. Werner,*Optimal numerical quadratures in H*, Math. Z. 138 (1974), 111-117. MR**352824****5.**L. Lundin and F. Stenger,*Cardinal-type approximations of a function and its derivatives*(submitted).**6.**F. Stenger,*Integration formulas based on the trapezoidal formula*, J. Inst. Math. Appl. 12 (1973), 103-114. MR**381261****7.**F. Stenger,*An analytic function which is an approximate characteristic function*, SIAM J. Numer. Anal. 12 (1975), 239-254. MR**381262****8.**F. Stenger,*Approximations via Whittaker's cardinal function, J*. Approximation Theory 17 (1976), 222-240. MR**481786****9.**H. Wilf,*Exactness conditions in numerical quadrature*, Numer. Math. 6 (1964), 315-319. MR**179941**

Retrieve articles in *Bulletin of the American Mathematical Society*
with MSC (1970):
65D30,
65D15,
65D05,
65D15,
65D25

Retrieve articles in all journals with MSC (1970): 65D30, 65D15, 65D05, 65D15, 65D25

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1978-14446-2