Some refinements and generalizations of I. Schur type inequalities.
Recently, extensive researches on estimating the value of e have been studied. In this paper, the structural characteristics of I. Schur type inequalities are exploited to generalize the corresponding inequalities by variable parameter techniques. Some novel upper and lower bounds for the I. Schur inequality have also been obtained and the upper bounds may be obtained with the help of Maple and automated proving package (Bottema). Numerical examples are employed to demonstrate the reliability of the approximation of these new upper and lower bounds, which improve some known results in the recent literature.
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.
Xian-Ming
0000-0001-7895-2050
XM
Gu
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.
Ting-Zhu
TZ
Huang
School of Science, North University of China, Taiyuan 030051, China.
Wei-Ru
WR
Xu
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.
Hou-Biao
HB
Li
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.
Liang
L
Li
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.
Xi-Le
XL
Zhao
D000465:Algorithms; D008433:Mathematics; D008962:Models, Theoretical; D015203:Reproducibility of Results