## Bulletin of the American Mathematical Society

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

Frank Stenger

#### Article information

Source
Bull. Amer. Math. Soc. Volume 84, Number 1 (1978), 145-148.

Dates
First available in Project Euclid: 4 July 2007

http://projecteuclid.org/euclid.bams/1183540395

Mathematical Reviews number (MathSciNet)
MR0474714

Zentralblatt MATH identifier
0381.65014

#### Citation

Stenger, Frank. Upper and lower estimates on the rate of convergence of approximations in $H_p$. Bull. Amer. Math. Soc. 84 (1978), no. 1, 145--148. http://projecteuclid.org/euclid.bams/1183540395.

#### References

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• 3. L. W. Johnson and R. D. Riess, Minimal quadratures for functions of low order continuity, Math. Comp. 25 (1971), 831-835.
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• 5. L. Lundin and F. Stenger, Cardinal-type approximations of a function and its derivatives (submitted).
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• 7. F. Stenger, An analytic function which is an approximate characteristic function, SIAM J. Numer. Anal. 12 (1975), 239-254.
• 8. F. Stenger, Approximations via Whittaker's cardinal function, J. Approximation Theory 17 (1976), 222-240.
• 9. H. Wilf, Exactness conditions in numerical quadrature, Numer. Math. 6 (1964), 315-319.