On a Functional Equation Associated with Simpson’s Rule

被引：0
|
作者：
Kannappan P.L. [1 ]
Riedel T. [2 ]
Sahoo P.K. [2 ]
机构：
[1] Department of Pure Mathematics, University of Waterloo, Waterloo, N2L 3G1, ON
[2] Department of Mathematics, University of Louisville, Louisville, 40292, KY
来源：
Results in Mathematics | 1997年 / 31卷 / 1-2期
关键词：
Additive function; Cauchy difference; mean value type functional equations; Simpson’s rule;
D O I：
10.1007/BF03322154
中图分类号：
学科分类号：
摘要：
In this paper, we determine the general solution of the functional equation (Formula presented.) for all real numbers x and y. This equation arises in connection with Simpson’s Rule for the numerical evaluation of definite integrals. The solution of this functional equation is achieved through the functional equation (Formula presented.). © 1997, Birkhäuser Verlag, Basel.
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收藏
页码：115 / 126
页数：11
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