ON THE RATE OF CONVERGENCE OF THE GAMMA OPERATOR FOR FUNCTIONS OF BOUNDED VARIATION |
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作者姓名: | 陈文忠 郭顺生 |
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作者单位: | Department of Mathematics Xiamen University Xiamen Fujian,China,Department of Mathematics Hebei Normal University Shijiazhuang,Hebei,China |
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摘 要: | Let f be a function defined on the infinite interval0,∞).The Gamma operator G_n applied to f isG_n(f(t),x)=∫_0~f(nt)g_n(x/t)(dt)/t,whereg_n(u)=u~ne~(-u)/(n-1)!(see1],P.207).There are some results of convergence and saturation of G_n
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