| 新条件下Fourier级数L~p可积性的研究 |
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| 引用本文： | 唐秀娟.新条件下Fourier级数L~p可积性的研究[J].装甲兵工程学院学报,2008,22(6). |
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| 作者姓名： | 唐秀娟 |
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| 作者单位： | 公安海警高等专科学校基础部,宁波,315801 |
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| 摘 要： | 小样本多元数据分析和数据压缩、编码等是装备维修与故障分析中的常用技术,这些技术的理论研究常常归结到用函数的Fourier系数刻画可积函数类问题。研究了正弦级数和余弦级数属于Lp函数类的条件,建立了在NBVS假设条件下的判别准则,推广了已有结果。
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| 关 键 词： | Fourier级数 双边剩余有界变差条件 收敛 |
Research on L~p-Integrability of Fourier under a New Condition |
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| TANG Xiu-Juan.Research on L~p-Integrability of Fourier under a New Condition[J].Journal of Armored Force Engineering Institute,2008,22(6). |
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| Authors: | TANG Xiu-Juan |
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| Institution: | TANG Xiu-Juan(Department of Fundamental Courses,Public Security , Marine Police Academy,Ningbo 315801,China) |
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| Abstract: | The Multi-data analyses of small samples,data compression and coding are frequently applied to equipment maintenance and malfunction analysis.In theoretical investigation,Fourier coefficient is often employed to discuss issues on integrable functions.This paper provides principles to judge whether sine-series or cosine-series belongs to functions under the NBVS assumption;it also extends the results discussed by other scholars by far. |
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| Keywords: | fourier series non-one sided bounded variation sequence condition convergence |
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