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学者姓名:傅树声
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Abstract :
In this note, we shah introduce a new integral, AF integral, which includes the Foran integral and the Kubota integral.
Keyword :
FORAN INTEGRAL FORAN INTEGRAL KUBOTA INTEGRAL KUBOTA INTEGRAL OMALLEY MONOTONE THEOREM OMALLEY MONOTONE THEOREM
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GB/T 7714 | FU, SS . AN EXTENSION OF THE FORAN INTEGRAL [J]. | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY , 1995 , 123 (2) : 403-404 . |
MLA | FU, SS . "AN EXTENSION OF THE FORAN INTEGRAL" . | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 123 . 2 (1995) : 403-404 . |
APA | FU, SS . AN EXTENSION OF THE FORAN INTEGRAL . | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY , 1995 , 123 (2) , 403-404 . |
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Abstract :
We introduce the notions of lambda-power dyadic derivatives and lambda-power dyadic integrals, so that, in particular, the Canter ternery function is an indefinite integral of its derivative. Furthermore, under certain conditions on the integrands we can give a Riemann-type definition to the lambda-power dyadic integral.
Keyword :
CANTER TYPE SET CANTER TYPE SET HAUSDORFF DIMENSION AND HAUSDORFF MEASURE HAUSDORFF DIMENSION AND HAUSDORFF MEASURE LAMBDA-POWER DYADIC DERIVATIVE LAMBDA-POWER DYADIC DERIVATIVE LAMBDA-POWER DYADIC INTEGRAL LAMBDA-POWER DYADIC INTEGRAL LAMBDA-POWER RIEMANN INTEGRAL LAMBDA-POWER RIEMANN INTEGRAL SINGULAR FUNCTION SINGULAR FUNCTION
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GB/T 7714 | FU, SS . LAMBDA-POWER INTEGRALS ON THE CANTOR TYPE SETS [J]. | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY , 1995 , 123 (9) : 2731-2737 . |
MLA | FU, SS . "LAMBDA-POWER INTEGRALS ON THE CANTOR TYPE SETS" . | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 123 . 9 (1995) : 2731-2737 . |
APA | FU, SS . LAMBDA-POWER INTEGRALS ON THE CANTOR TYPE SETS . | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY , 1995 , 123 (9) , 2731-2737 . |
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Abstract :
We introduce the notions of γ-power dyadic derivatives and Apower dyadic integrals, so that, in particular, the Cantor ternery function is an indefinite integral of its derivative. Furthermore, under certain conditions on the integrands we can give a Riemann-type definition to the γ-power dyadic integral. In. © 1995 American Mathematical Society.
Keyword :
Cantor type set; Hausdorff dimension and Hausdorff measure; Singular function; γ-power dyadic derivative; γ-power dyadic integral; γ-power Riemann integral Cantor type set; Hausdorff dimension and Hausdorff measure; Singular function; γ-power dyadic derivative; γ-power dyadic integral; γ-power Riemann integral
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GB/T 7714 | Fu, S. . γ-Power integrals on the cantor type sets [J]. | Proceedings of the American Mathematical Society , 1995 , 123 (9) : 2731-2737 . |
MLA | Fu, S. . "γ-Power integrals on the cantor type sets" . | Proceedings of the American Mathematical Society 123 . 9 (1995) : 2731-2737 . |
APA | Fu, S. . γ-Power integrals on the cantor type sets . | Proceedings of the American Mathematical Society , 1995 , 123 (9) , 2731-2737 . |
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Keyword :
中值定理 中值定理 对称导数 对称导数
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GB/T 7714 | 傅树声 . 关于对称导数 [J]. | 福州大学学报 , 1981 , (02) : 91-94 . |
MLA | 傅树声 . "关于对称导数" . | 福州大学学报 02 (1981) : 91-94 . |
APA | 傅树声 . 关于对称导数 . | 福州大学学报 , 1981 , (02) , 91-94 . |
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充要条件 充要条件 勒贝格 勒贝格
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GB/T 7714 | 傅树声 . 关于福氏级数点收敛的充要条件 [J]. | 福州大学学报 , 1978 , (02) : 128-133 . |
MLA | 傅树声 . "关于福氏级数点收敛的充要条件" . | 福州大学学报 02 (1978) : 128-133 . |
APA | 傅树声 . 关于福氏级数点收敛的充要条件 . | 福州大学学报 , 1978 , (02) , 128-133 . |
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