RELATION BETWEEN L_p-DERIVATES AND PEANO, APPROXIMATE PEANO AND BOREL DERIVATES OF HIGHER ORDER

S. N. Mukhopadhyay; S. Ray

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RELATION BETWEEN L_p-DERIVATES AND PEANO, APPROXIMATE PEANO AND BOREL DERIVATES OF HIGHER ORDER

机译：L_p-导数与PEANO，高阶近似PIANO和BOREL导数之间的关系

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摘要

The definition of the L_p-derivative is such that it involves only the absolute value of the function, and therefore the definition of L_p-derivates is not possible from the definition of L_p-derivative. Therefore, a special technique is used to define them and then to study the relations between L_p-derivates and Peano, approximate Peano and Borel derivates.

机译：L_p导数的定义使得它仅涉及函数的绝对值，因此，根据L_p导数的定义不可能定义L_p导数。因此，使用一种特殊的技术对其进行定义，然后研究L_p导数与Peano，近似Peano和Borel导数之间的关系。

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来源
《Real analysis exchange》 |2016年第1期|137-158|共22页
作者
S. N. Mukhopadhyay; S. Ray;
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作者单位

University Teachers' Co-op Housing, Krishnapur Road, Burdwan-713104, West Bengal, India;

Department of Mathematics, Vasva-bharati University, Santiniketan-731235, West Bengal, India;

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正文语种 eng
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Upper and lower L_p-derivates; Peano; approximate Peano and Borel derivates; Minkowski's and Holder's inequalities;

机译：上下L_p导数;皮亚诺近似的钢琴和波雷尔派生词;Minkowski和Holder的不等式;

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2. Infinite approximate Peano derivatives [J] . Fejzic H. Proceedings of the American Mathematical Society . 2003,第8期

机译：无限近似Peano导数
3. Relation between grid, channel, and Peano networks in high-resolution digital elevation models [J] . De Bartolo Samuele, DellAccio Francesco, Frandina Giuseppe, Water resources research . 2016,第5期

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4. Fusible numbers and Peano Arithmetic [C] . Jeff Erickson, Gabriel Nivasch, Junyan Xu Annual ACM/IEEE Symposium on Logic in Computer Science . 2021

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机译：物理实验与抽象谐波分析：一种估计激光干涉测量误差的广义peano核定理。

RELATION BETWEEN L_p-DERIVATES AND PEANO, APPROXIMATE PEANO AND BOREL DERIVATES OF HIGHER ORDER

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