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| 1 | Ultimate generalization to monotonicity for uniform convergence of trigonometric series显示文摘Chaundy and Jolliffe proved that if {a n } is a non-increasing (monotonic) real sequence with lim n →∞ a n = 0, then a necessary and sufficient condition for the uniform convergence of the series ∑∞ n=1 a n sin nx is lim n →∞ na n = 0. We generalize (or weaken) the monotonic condition on the coefficient sequence {a n } in this classical result to the so-called mean value bounded variation condition and prove that the generalized condition cannot be weakened further. We also establish an analogue to the generalized Chaundy-Jolliffe theorem in the complex space. | Zhou SongPing Zhou Ping Yu DanSheng | 2010 | Science China Mathematics2010，53，7： | 9 |
| 2 | A NEW CONDITION FOR CERTAIN TRIGONOMETRIC SERIES显示文摘现在的纸建议一个新自然弱条件代替 thequasimonotone 和 O 定期变化的伪单调条件,并且显示出主要结果的结论在[10 ] 静止抓住。而且,我们证明任何 O 定期变化的伪单调条件暗示这个条件,这样 tne quasimonotonicity 的含糊的牵连能在实践被避免。 | Ruijun Le Songping Zhou | 2006 | Analysis in Theory and Applications2006，22，1： | 2 |
| 3 | Trigonometric series with piecewise mean value bounded variation coefficients显示文摘In the present paper,we generalize some classical results in convergence and integrability for trigonometric series with varying coefficients(may change signs),by introducing a new ultimate condition upon coefficient sequences.This is a comprehensive systematic work on the topic. | ZHOU SongPing FENG FenJun ZHANG LiJun | 2013 | Science China Mathematics2013，56，8： | 1 |
| 4 | Local delivery of superagonist gene based on polymer nanoparticles for cancer immunotherapy显示文摘Cancer is the leading cause that threatens human life expectancy due to the lack of effective therapies.Cancer immunotherapy has been explored to improve the body's immune system against cancer and accompanied by promising results in recent years.Interleukin 15(IL-15),a pleiotropic immunomodulator,is critical for immune cells development and displays great anti-tumor potential in both preclinical and clinical trials.In this study,superagonist IL-15 plasmid(psIL-15)consisting of IL-15Rα-sushi-linker-IL-15 was constructed in order to secret superagonist IL-15(sIL-15)in tumor site.A gene delivery system through self-assembly by methylated polyethylene glycol-b-polylactic acid-b-methylated polyethylene glycol(m PEG-PLA-m PEG)and 1,2-dioleoyl-3-trimethylammonium-propane(DOTAP),named DMAM,was designed to deliver psIL-15.Further study showed that DMAM/psIL-15 could successfully deliver psIL-15 to tumor cells and the supernatants of the tumor cells could further stimulate lymphocytes proliferation as well as activation in vitro.Local delivery of DMAM/psIL-15 in animal models demonstrated significant tumor inhibition through enhancing immune cells responses,reducing angiogenesis,promoting tumor cell apoptosis and inhibiting proliferation,with no evidence of system toxicities.These results indicate that DMAM/psIL-15 may be a promising strategy for cancer immunotherapy. | Zehua Hong Xin Zan Ting Yu Yuzhu Hu Hongfeng Gou Songping Zheng Xiang Gao Peizhi Zhou | 2023 | Chinese Chemical Letters2023，34，3： | 1 |
| 5 | The Jackson type estimate for Shepard operators in Lp for p>1显示文摘 | Xiao Wei Zhou Songping | 2002 | Acta Math Hungar2002，95，： | 1 |
| 6 | ARE RATIONAL COMBINATIONS OF {x~λ_n},λ≥0 ALWAYS DENSE IN C[0,∞]?显示文摘The present paper shows that far any sequence of nomegatwe numbers with infinitely many distinct elements, the rational combinations of form a dense set (in the uniform norm on the positive axis) in the space of continuous factions f on [0) with lim f(x)=f(0). The last condition can be removed whenhas an infinity cluster point. | Qingyu Zhao and Songping Zhou(Hangzhou Teacher’s College and Hangzhou University, China) | 1997 | Analysis in Theory and Applications1997，13，1： | 1 |
| 7 | Global and point- wise estimates for approximation by rational functions with polynomials of positive coefficients as the denom- inators显示文摘 | YU Dansheng ZHOU Songping | 2011 | Acta Math Sci2011，31，2： | 1 |
| 8 | APPROXIMATION BY RATIONAL FUNCTIONS WITH POLYNOMIALS OF POSITIVE COEFFICIENTS AS THE DENOMINATORS显示文摘The present paper proves that if f(x)∈C[0,1],changes its sign exactly l times at 0 | Dansheng Yu Songping Zhou | 2006 | Analysis in Theory and Applications2006，22，1： | 1 |
| 9 | SOME NEW CONDITIONS IN FOURIER ANALYSIS AND APPLICATIONS显示文摘我们作为 monotonicity 状况的归纳在 Fourier 分析调查一些条件。特别,我们给 GBVS 的一些应用,序列满足条件并且。给词调音三角法的系列 - 一致集中 - L 鈥 ? 集中 AMS (2000 ) 题目分类 42A20 - 中国(10471130 ) 的 NSF 部分地支持的 42A32。近似理论和遥感应用上的国际会议上的邀请报告, Kungming,中国, | Songping Zhou Dansheng Yu Ruijun Le | 2007 | Analysis in Theory and Applications2007，23，1： | 1 |
| 10 | WEIGHTED L^p-APPROXIMATION BY THE MODIFIED NEVAI OPERATORS显示文摘The present paper gives a Jackson type estimate for Nevai operators under weighted Lp norm, and establishes the direct and converse theorems in some proper Besov spaces. | Dansheng Yu Songping Zhou | 2005 | Analysis in Theory and Applications2005，21，3： | 0 |
| 11 | AN INTERESTING RESULT FOR POSITIVE SERIES显示文摘For arbitrary grven positive term series and the present paper prouides an interesting necessary and sufficient condition for | Zhou Songping (1) Zhou Guanzhen (2) | 1999 | Analysis in Theory and Applications1999，15，4： | 0 |
| 12 | RATIONAL COMBINATION OF{x^(λ_n)}ARE ALWAYS DENSE IN C_([0,1])显示文摘The present paper shows that for any sequence of real numbers with infinite distinct elements{λ_n},therational combination of{x~λ}are always dense in C_[0,1]. | Zhou Songping | 1993 | Analysis in Theory and Applications1993，9，1： | 0 |
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