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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Wang Xinghua Hangzhou University 
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      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.
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