[PDF] Top 20 New sharp bounds for logarithmic mean and identric mean

... 1. Bullen, PS, Mitrinovi´c, DS, Vasi´c, PM: Means and Their Inequalities. Reidel, Dordrecht (1988) 2. Ostle, B, Terwilliger, HL: A comparison of two means. Proc. Mont. Acad. Sci. 17, 69-70 (1957) 3. Karamata, J: Sur ... See full document

... arithmetic mean, geometric mean, har- monic mean, quadratic (or root-square) mean, logarithmic mean, identric mean, first Seif- fert mean [], second Seiffert ... See full document

... the logarithmic mean, identric mean, first Seiffert mean [], first Yang mean [], Toader mean [], Neuman-Sándor mean [, ], Sándor mean [], second Seif- ... See full document

... A study about the stability and stabilizability of the standard means was presented in []. For example, the arithmetic, geometric, and harmonic means A, G, and H are stable. The logarithmic mean L is (H, ... See full document

... In this paper, we point out a different Gr¨ uss type inequality and apply it for special means (logarithmic mean, identric mean, etc... ) and in Numerical Analysis in connection with the[r] ... See full document

... the sharp bounds for the special quasi-arithmetic mean E(a, b) in terms of the arithmetic mean A(a, b) and geometric mean G(a, b) with two ...means bounds for E(a, b) and find ... See full document

... Schwab-Borchardt mean SB(a, b) is strictly increasing in both a and b, nonsymmetric and homogeneous of degree ...Seiffert mean, T (a, b) = (a – b)/[ arctan((a– b)/(a +b))] = SB[A(a, b), Q(a, b)] is the ... See full document

... The study of inequalities involving means has become very popular in recent years be- cause of their applications in various kinds of areas of mathematics. Finding sharp bounds for inequalities is an ... See full document

... 2. Ostle, B, Terwilliger, HL: A comparison of two means. Proc. Mont. Acad. Sci. 17, 69-70 (1957) 3. Leach, EB, Sholander, MC: Extended mean values. J. Math. Anal. Appl. 92, 207-223 (1983) 4. Sándor, J: On the ... See full document

... the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic ...present new ... See full document

... Abstract In this article, we establish some new inequality chains for the ratio of certain bivariate means, and we present several sharp bounds for the arithmetic-geometric mean.. MSC: P[r] ... See full document

... Matejíčka, L: Sharp bounds for the weighted geometric mean of the first Seiffert and logarithmic means in terms of weighted generalized Heronian mean.. Yang, Z-H: Sharp bounds for Seiffert[r] ... See full document

... Î ℝ for fixed a, b >0 with a ≠ b. Let A(a, b) = (a + b)/2, G(a, b) = √ ab , H(a, b) = 2ab/(a + b), I(a, b) = 1/e(b b /a a ) 1/(b-a) (b ≠ a), I(a, b) = a (b = a), and L(a, b) = (b-a)/ (log b-log a) (b ≠ a), L(a, b) = a ... See full document

... then inequality 2.8 gives an improved lower bound for the power mean.. ject to the condition.[r] ... See full document

... Two sharp double inequalities for Seiffert mean Yu-Ming Chu1*, Miao-Kun Wang1 and Wei-Ming Gong2 * Correspondence: [email protected] 1 Department of Mathematics, Huzhou Teachers[r] ... See full document

... extended mean values: definition, properties, monotonicities, comparison, con- vexities, generalizations, and applications, Cubo Matem´ atica Educacional 5 (2003), ... See full document

... Wu, “Generalization and sharpness of the power means inequality and their applications,” Journal of Mathematical Analysis and Applications, vol.. Richards, “Sharp power mean bounds for t[r] ... See full document

... Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means Jing-Jing Chen, Jian-Jun Lei and Bo-Yong Long* *.. Correspondenc[r] ... See full document

... We also give an improved upper bound of the logarithmic mean on Theorem . above, only for the Frobenius norm. Namely, we can prove the following inequalities in a similar way to the proof of Theorem ., ... See full document

... Yang, Z.-H., Qian, W.-M., Chu, Y.-M., Zhang, W.: On approximating the arithmetic–geometric mean and complete elliptic integral of the first kind.. Lin, L., Liu, Z.-Y.: An alternating proj[r] ... See full document