논문KCI 등재
TWO DOUBLE INEQUALITIES FOR THE SEIFFERT MEAN IN TERMS OF THE ARITHMETIC, CENTROIDAL, AND CONTRA-HARMONIC MEANS
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초록
In the paper, the authors find the best possible constants such that two double inequalities for bounding the second Seiffert mean in terms of a one-parameter family of the centroidal mean or in terms of a convex combination of the arithmetic and contra-harmonic means are valid.
Abstract
In the paper, the authors find the best possible constants such that two double inequalities for bounding the second Seiffert mean in terms of a one-parameter family of the centroidal mean or in terms of a convex combination of the arithmetic and contra-harmonic means are valid.
참고문헌 (9)
- M. Abramowitz, "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables" (1972)
- G. E. Andrews, "Encyclopedia of Mathematics and its Applications" (1999), Cambridge University Press
- Y.-M. Chu, "Sharp bounds for Seiffert mean in terms of contraharmonic mean", Abstr. Appl. Anal., 2012, pp.425175~ (2012)[DOI]
- Yu-Ming Chu, "Two sharp double inequalities for Seiffert mean", Journal of Inequalities and Applications, 2011(1), pp.44~ (2011), Springer Nature[DOI]
- J. Fang, "Some Convex Combination Bounds for Arithmetic and the Second Seiffert Means", Master, pp.2011
- P. A. Hästö, "A monotonicity property of ratios of symmetric homogeneous means", J. Inequal. Pure Appl. Math., 3(5), pp.71~ (2002)
- "Two sharp inequalities for bounding the Seiert mean by the arithmetic, centroidal, and contra-harmonic means"[URL]
- Wei-dong Jiang, "Some sharp inequalities involving Seiffert and other means and their concise proofs", Mathematical Inequalities & Applications, (4), pp.1007~1017 (1998), Element d.o.o.[DOI]
- H.-J. Seiffert, "Aufgabe β 16", Die Wurzel, 29, pp.221~222 (1995)
관련 논문AI추천
Some Optimal Convex Combination Bounds for Arithmetic MeanGao Hong-ya, Xue Ruihong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호A CLASS OF DOUBLE INEQUALITIES FOR STOLARSKY MEANSC. P. Chen장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제1호BOUNDS FOR THE QUOTIENTS OF DIFFERENCES OF CERTAIN BIVARIATE MEANSEDWARD NEUMAN, Jozsef Sandor장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호On a class of Bivariate means including a lot of old and new meansAnis Rezgui, Mustapha Raissouli대한수학회 · 대한수학회논문집2019 · 제34권 제1호Some inequalities for bivariate meansHongxia Du대한수학회 · 대한수학회논문집2009 · 제24권 제4호THE LOG-CONVEXITY OF ANOTHER CLASS OF ONE-PARAMETER MEANS AND ITS APPLICATIONSZhen-Hang Yang대한수학회 · 대한수학회보2012 · 제49권 제1호
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