Upper and lower estimates on the rate of convergence of approximations in $H_p$
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- by Frank Stenger PDF
- Bull. Amer. Math. Soc. 84 (1978), 145-148
References
- A. A. Gončar, Rapidity of rational approximation of continuous functions with characteristic singularities, Mat. Sb. (N.S.) 73 (115) (1967), 630–638 (Russian). MR 0214982
- Seymour Haber, The error in numerical integration of analytic functions, Quart. Appl. Math. 29 (1971/72), 411–420. MR 436553, DOI 10.1090/S0033-569X-1971-0436553-X
- L. W. Johnson and R. D. Riess, Minimal quadratures for functions of low-order continuity, Math. Comp. 25 (1971), 831–835. MR 298940, DOI 10.1090/S0025-5718-1971-0298940-X
- Henry L. Loeb and Helmut Werner, Optimal numerical quadrature in $H_{p}$ spaces, Math. Z. 138 (1974), 111–117. MR 352824, DOI 10.1007/BF01214227 5. L. Lundin and F. Stenger, Cardinal-type approximations of a function and its derivatives (submitted).
- Frank Stenger, Integration formulae based on the trapezoidal formula, J. Inst. Math. Appl. 12 (1973), 103–114. MR 381261, DOI 10.1093/imamat/12.1.103
- Frank Stenger, An analytic function which is an approximate characteristic function, SIAM J. Numer. Anal. 12 (1975), 239–254. MR 381262, DOI 10.1137/0712022
- Frank Stenger, Approximations via Whittaker’s cardinal function, J. Approximation Theory 17 (1976), no. 3, 222–240. MR 481786, DOI 10.1016/0021-9045(76)90086-1
- Herbert S. Wilf, Exactness conditions in numerical quadrature, Numer. Math. 6 (1964), 315–319. MR 179941, DOI 10.1007/BF01386079
Additional Information
- 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