GNAN MEAN FOR TWO VARIABLES

V. Lokesha (India), Zhi-Hua Zhang (P. R. China) and K. M. Nagaraja (India)

Received October 3, 2007

References:

[1] J.-Ch. Kuang, Chángyòng Búděngshì (Applied Inequalities), 2nd ed., Hunan Education Press, Changsha, China, 1993 (Chinese). [2] V. Lokesha, Zh.-H. Zhang and Y.-D. Wu, Two weighted product type means and its monotonicities, RGMIA Research Report Collection 8(1) (2005), Article 17. http://rgmia.vu.edu.au/v8n1.html [3] Zh.-G. Xiao and Zh.-H. Zhang, The inequalities in n variables, J. Ineq. Pure & Appl. Math. 4(2) (2003), Article 39. http://jipam.vu.edu.au/v4n2 /110_02.pdf [4] Zh.-G. Xiao, Zh.-H. Zhang and V. Lokesha, The weighted heron mean of several positive numbers, RGMIA Research Report Collection 8(3) (2005), Article 6. http://rgmia.vu.edu.au/v8n3.html [5] Zh.-G. Xiao, V. Lokesha and Zh.-H. Zhang, The weighted Heron dual mean of several positive numbers, RGMIA Research Report Collection 8(4) (2005), Article 19. http://rgmia.vu.edu.au/v8n4.html [6] Zh.-H. Zhang and Y.-D. Wu, The generalized Heron mean and its dual form, Appl. Math., E-Notes 5 (2005), 16-23. http://www.math.nthu.edu.tw/˜amen/

Keywords and phrases: mean, weighted, inequality, monotonicity.