| A New Method of Deriving the Asymptotic Expansion of the Integral ∫f(x, {λx} )dx and Its Remainder Estimates |
| Received:October 04, 1981 |
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| Abstract: |
| Assume that f(x,y) is a continuous function defined on unit square 0≤x≤1,0≤y≤1 and having continuous partial derivatives with respect to x, of orders up to r, where r is a positive integer. In a recent work, applying Euler-Maclaurin formula, the following expansion has been proved. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1983.02.007 |
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