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A simple proof strengthening and extension of inequalities
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In this short note, using Weighted Arithmetic and Geometric means We deduce Contra Harmonic mean and Power exponential mean. Also we established some new inequalities involving important means.
Abstract
In this short note, using Weighted Arithmetic and Geometric means We deduce Contra Harmonic mean and Power exponential mean. Also we established some new inequalities involving important means.
참고문헌 (7)
- Gheorghe Toader and Silvia Toader, "Greek means and Arithmetic and Geometric mean", RGMIA MONOGRAPH
- J-Ch. Kuang, "Chang yong Budengshi" (1993), Hunan Educational Press
- V. Lokesha, "Relation between series and important means", Advances in Theoretical and applied mathematics, 2(1), pp.31~36 (2007)
- Zhen-Hang, Yang, "On the Homogeneous function with two parameters and its monotonicity", RGMIA research report collection, 8(2) (2005), article 10
- Zhen-Hang, Yang, "On refinements and extensions of log-convexity for two parameters Homogeneous function", RGMIA research report Collection, 8(3) (2005), article 12
- Some identities for means and applications, RGMIA research report collection, "Zhen-Hang, Yang", ~ (2005)
- Zh.G. Xiao, "The inequalities in n Variables", J. In. pure and Appl. Math, 4(2) (2003), Article 29
관련 논문AI추천
A note on the inequality of meansJ. Sándor장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호Some inequalities for bivariate meansHongxia Du대한수학회 · 대한수학회논문집2009 · 제24권 제4호Detectable means and applicationsMustapha Raıssouli대한수학회 · 대한수학회논문집2023 · 제38권 제1호THE LOG-CONVEXITY OF ANOTHER CLASS OF ONE-PARAMETER MEANS AND ITS APPLICATIONSZhen-Hang Yang대한수학회 · 대한수학회보2012 · 제49권 제1호Majorized proof of arithmetic-geometric-harmonic means inequalityHUAN-NAN SHI장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호NOTE ON DIFFERENT KINDS OF SCHUR CONVEXITIES OF HEINZ TYPE MEANK. M. Nagaraja, K. Sridevi, P. S. K. Reddy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제4호
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