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[PDF] Top 20 Sharp bounds for Neuman means in terms of two parameter contraharmonic and arithmetic mean

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Sharp bounds for Neuman means in terms of two parameter contraharmonic and arithmetic mean

Sharp bounds for Neuman means in terms of two parameter contraharmonic and arithmetic mean

... 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

13

Optimal bounds for Neuman-Sándor mean in terms of one-parameter centroidal mean

Optimal bounds for Neuman-Sándor mean in terms of one-parameter centroidal mean

... Liu, Optimal bounds for Neuman-S´aandor mean in terms of the con- vex combinations of harmonic, geometric, quadratic, and contraharmonic means, Abstr. Jiang and Y.-M[r] ... See full document

11

Sharp bounds for Toader mean in terms of arithmetic, quadratic, and Neuman means

Sharp bounds for Toader mean in terms of arithmetic, quadratic, and Neuman means

... Schwab-Borchardt mean SB(a, b) is strictly increasing in both a and b, nonsymmetric and homogeneous of degree ...ate means are special cases of the Schwab-Borchardt ...Seiffert mean, T (a, b) = (a – ... See full document

9

Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means

Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means

... 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

9

Sharp bounds for Seiffert and Neuman Sándor means in terms of generalized logarithmic means

Sharp bounds for Seiffert and Neuman Sándor means in terms of generalized logarithmic means

... Chu, Y-M, Zong, C, Wang, G-D: Optimal convex combination bounds of Seiffert and geometric means for the arithmetic mean.. Borwein, JM, Borwein, PB: Inequalities for compound mean iteratio[r] ... See full document

13

Optimal bounds for Neuman means in terms of geometric, arithmetic and quadratic means

Optimal bounds for Neuman means in terms of geometric, arithmetic and quadratic means

... Optimal bounds for Neuman-Sándor mean in terms of the convex combinations of harmonic, geometric, quadratic, and contraharmonic ...8. Neuman, E: On some means derived from ... See full document

13

Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra harmonic means

Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra harmonic means

... the arithmetic mean A(a, b) [1–4], the quadratic mean Q(a, b) [5], the contra-harmonic mean C(a, b) [6–9], the Neuman–Sándor mean NS(a, b) [10–12], the second Seiffert mean ... See full document

13

Optimal two parameter geometric and arithmetic mean bounds for the Sándor–Yang mean

Optimal two parameter geometric and arithmetic mean bounds for the Sándor–Yang mean

... 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 ... See full document

12

Improvements of bounds for the Sándor–Yang means

Improvements of bounds for the Sándor–Yang means

... 5 Conclusion We present sharp upper and lower bounds for the Sándor–Yang means RAQ and RQA in terms of the arithmetic and contraharmonic means and provide new bounds for the Seiffert mea[r] ... See full document

8

Sharp bounds for a special quasi arithmetic mean in terms of arithmetic and geometric means with two parameters

Sharp bounds for a special quasi arithmetic mean in terms of arithmetic and geometric means with two parameters

... 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 ...geometric ... See full document

10

Sharp bounds for Neuman means in terms of one parameter family of bivariate means

Sharp bounds for Neuman means in terms of one parameter family of bivariate means

... 3. Neuman, E: Inequalities for the Schwab-Borchardt mean and their ...4. Neuman, E: On some means derived from the Schwab-Borchardt ...5. Neuman, E: On some means derived from ... See full document

11

Sharp bounds for Sandor-Yang means in terms of Lehmer means

Sharp bounds for Sandor-Yang means in terms of Lehmer means

... This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the orig[r] ... See full document

8

Sharp bounds by the power mean for the generalized Heronian mean

Sharp bounds by the power mean for the generalized Heronian mean

... 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

9

Optimal bounds for two Sándor type means in terms of power means

Optimal bounds for two Sándor type means in terms of power means

... Schwab-Borchardt mean SB(a, b) is strictly increasing in both a and b, nonsymmetric and homogeneous of de- gree  with respect to a and ...bivariate means are special cases of the Schwab-Borchardt ... See full document

10

Several sharp inequalities about the first Seiffert mean

Several sharp inequalities about the first Seiffert mean

... possible bounds for the first Seiffert mean in terms of the geometric combination of logarithmic and the Neuman–Sándor means, and in terms of the geometric combination of ... See full document

11

Inequalities for certain means in two arguments

Inequalities for certain means in two arguments

... classical means are the special cases of the power mean, for example, M(a, b; –) = ab/(a + b) = H(a, b) is the harmonic mean, M(a, b; ) = ... See full document

11

The Optimal Convex Combination Bounds of Arithmetic and Harmonic Means for the Seiffert's Mean

The Optimal Convex Combination Bounds of Arithmetic and Harmonic Means for the Seiffert's Mean

... We find the greatest value α and least value β such that the double inequality αAa, b 1 − αHa, b < P a, b < βAa, b1−βHa, b holds for all a, b > 0 with a / b. Here Aa, b, Ha, b, and Pa, b denote the ... See full document

7

Sharp power type Heronian mean bounds for the Sándor and Yang means

Sharp power type Heronian mean bounds for the Sándor and Yang means

... Correspondence: [email protected] School of Mathematics and Computation Sciences, Hunan City University, Yiyang, 413000, China Full list of author information is available at the end[r] ... See full document

10

Sharp bounds involving the Sandor-Yang means in terms of other bivariate means

Sharp bounds involving the Sandor-Yang means in terms of other bivariate means

... Seiffert mean, T (a, b) = 2 arctan[(a−b)/(a+b)] a−b = SB [A (a, b) , Q (a, b)] is the second Seiffert mean, M (a,b) = 2 arcsin h[(a−b)/(a+b)] a−b = SB [Q (a, b) , A (a, b)] is the Neuman-S´andor ... See full document

16

Optimal convex combination bounds of geometric and Neuman means for Toader type mean

Optimal convex combination bounds of geometric and Neuman means for Toader type mean

... combination bounds of the geometric and Neuman means for the Toader-type mean, and give several new upper and lower bounds for the complete elliptic integral of the second ... See full document

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