[1]邢志霞,张孝惠.Toader型平均关于其他二元平均的逼近[J].浙江理工大学学报,2022,47-48(自科四):588-595.
　XING Zhixia,ZHANG Xiaohui.On approximation the Toader type mean by other bivariate means[J].Journal of Zhejiang Sci-Tech University,2022,47-48(自科四):588-595.

点击复制

Toader型平均关于其他二元平均的逼近()

分享到：

参考文献/References:

［1］ Toader G. Some mean values related to the arithmeticgeometric mean［J］. Journal of Mathematical Analysis and Applications, 1998, 218(2): 358-368.

［2］ Vuorinen M. Hypergeometric functions in geometric function theory［J］. Special Functions and Differential Equations, 1998: 119-126.

［3］ 裘松良, 沈洁敏. 关于平均值的两个问题［J］. 杭州电子工业学院学报, 1997, 17(3): 1-7.

［4］ Barnard R W, Pearce K, Richards K C. An inequality involving the generalized hypergeometric function and the arc length of an ellipse［J］. SIAM Journal on Mathematical Analysis, 2000, 31(3): 693-699.

［5］ Alzer H, Qiu S L. Monotonicity theorems and inequalities for the complete elliptic integrals［J］. Journal of Computational and Applied Mathematics, 2004, 172(2): 289-312.

［6］ Anderson G D, Vamanamurthy M K, Vuorinen M. Conformal Invariants, Inequalities, and Quasiconformal Maps［M］. John Wiley and Sons, New York, 1997: 48-73.

［7］ Zhao T H, Chu Y M, Zhang W. Optimal inequalities for bounding Toader mean by arithmetic and quadratic means［J］. Journal of Inequalities and Applications, 2017, 2017: 26.

［8］ Zhang Q, Xu B, Han M A. Optimal bounds for Toader mean in terms of general means［J］. Journal of Inequalities and Applications, 2020, 2020: 118.

［9］ Yang Z H, Tian J F. Sharp bounds for the Toader mean in terms of arithmetic and geometric means［J］. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales: Serie A Matemáticas, 2021, 115(3):1-17.

［10］ Li J F, Qian W M, Chu Y M. Sharp bounds for Toader mean in terms of arithmetic, quadratic, and Neuman means［J］. Journal of Inequalities and Applications, 2015, 2015: 277.

相似文献/References:

[1]葛耿韬,裘松良,焦仁兵.第一类完全椭圆积分之商的一个双向不等式[J].浙江理工大学学报,2018,39-40(自科6):770.
　GE Gengtao,QIU Songliang,JIAO Renbing.A double inequality for the ratio of complete elliptic integrals of the first kind[J].Journal of Zhejiang Sci-Tech University,2018,39-40(自科四):770.
[2]裘松良,鲍琪,马晗茜.Hübner函数的一个极值问题的解[J].浙江理工大学学报,2020,43-44(自科三):362.
　QIU Songliang,BAO Qi,MA Hanxi.Solution of an extremal problem on the Hübner function[J].Journal of Zhejiang Sci-Tech University,2020,43-44(自科四):362.