摘要
利用不等式(π4(n-1)/2n 4(n+))^(1/2)1<∫_0^(π/2)sin^nxdx<(π(4n+5)/2 (n+1)(4n+3))^(1/2),对有趣数列{(n+c)^(1/2)∫_0^(π/2)sin^nxdx}的单调性再次进行了分析论证,并对已有结论进行了改进.
By using inequality √π(4n-1)/2n(4n+1)〈∫0^π/2sin^nxdx〈√π(4n+5)/2(n+1)(4n+3)for interesting sequence {√n+c∫0^π/2sin^nxdx}monotonicity are analyzed argument again, and the existing conclusion is improved.
作者
杨天虎
秦天像
岳志明
YANG Tian-hu;QIN Tian-xiang;YUE Zhi-ming(New Energy Engineering Department,Jiuquan Vocational and Technical College,Jiuquan Gansu 735000,China;Key Laboratory of the Solar Power System Engineering,Gansu Province(Jiuquan Vocational and Technical College)
出处
《大学数学》
2018年第4期104-107,共4页
College Mathematics
基金
甘肃省科技创新平台专项资助(1505JTCF039)
甘肃省科技计划项目(1309RTSF043)