Characterization of functions in terms of rate of convergence of a quadrature process

Authors:
Q. I. Rahman and G. Schmeisser

Journal:
Proc. Amer. Math. Soc. **111** (1991), 85-94

MSC:
Primary 41A25; Secondary 41A55, 46E35, 65D32

MathSciNet review:
1045597

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Abstract | References | Similar Articles | Additional Information

Abstract: We discuss the relationship between the regularity properties of a continuous -periodic function and the behavior of the remainder of the trapezoidal rule on applied to .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1991-1045597-0

Keywords:
Quadrature formula,
trapezoidal rule,
speed of convergence,
regularity properties,
function spaces

Article copyright:
© Copyright 1991
American Mathematical Society