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应用McShane扩张定理证明了A-调和方程很弱解的比较原理.这个结果可以看作经典弱解比较原理的一个扩展. 相似文献
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该文建立了双曲正弦和双曲余弦函数的幂级数余项的若干不等式. 相似文献
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The aim of this paper is to get the decomposition of distributional derivatives of functions with bounded variation in the framework of Carnot-Caratheodory spaces (C-C spaces in brievity) in which the vector fields are of Carnot type. For this purpose the approximate continuity of BV functions is discussed first, then approximate differentials of L1 functions are defined in the case that vector fields are of Carnot type and finally the 相似文献
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In this article, we prove that the double inequality
αP(a,b)+(1-α)Q(a,b)〈M(a,b)〈βP(a,b)+(1-β)Q(a,b)
holds for any a,b 〉 0 with a ≠ b if and only if α≥1/2 and β≤[π(√2 lov (1+√2)-1]/[√2π-2) log (1+√2)]=0.3595…,where M(a, b), Q(a, b), and P(a, b) ave the Neuman-Sandor, quadratic, and first Seiffert means of a and b, respectively. 相似文献
αP(a,b)+(1-α)Q(a,b)〈M(a,b)〈βP(a,b)+(1-β)Q(a,b)
holds for any a,b 〉 0 with a ≠ b if and only if α≥1/2 and β≤[π(√2 lov (1+√2)-1]/[√2π-2) log (1+√2)]=0.3595…,where M(a, b), Q(a, b), and P(a, b) ave the Neuman-Sandor, quadratic, and first Seiffert means of a and b, respectively. 相似文献
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本文有四个目标一是研究了H-Caccioppoli集的几何性质;二是证明了Hn上有界变差函数u的跳跃集Ju是H-Rectifiable并刻画不连续集Su和跳跃集Ju的特征;三是证明了u在Ω上几乎处处近似可微并研究u的逐点行为;最后还证明了DHu作为Radon测度能分解成三部分,即(DHu=Lu.L2N+1+2W2N-1/W2N+1(u+-u-)vuSQ-1d│Ju+(△)cHu),其中Lu∈R2n是u的近似微分,u+,u-,Vu分别是u在跳跃点的近似上、下极限和跳跃方向. 相似文献
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Heisenberg群H~n上的有界变差函数 总被引:1,自引:0,他引:1
本文有四个目标:一是研究了H-Caccioppoli集的几何性质;二是证明了H~n上有界变差函数u的跳跃集J_u是H-Rectifiable并刻画不连续集S_u和跳跃集J_u的特征;三是证明了u在Ω上几乎处处近似可微并研究u的逐点行为;最后还证明了D_Hu作为Radon测度能分解成三部分,即D_Hu=L_u·~(2n+1)+2w_(2n-1)/w_(2n+1)(u~+-u~-)v_uS_d~(Q-1)J_u+_H~cu,其中L_u ∈ R~(2n)是u的近似微分,u~+,u~-,v_u分别是u在跳跃点的近似上、下极限和跳跃方向。 相似文献
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