[PDF] Top 20 Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra harmonic means

... spectively the inverse hyperbolic sine and cosine functions. The Schwab–Borchardt mean SB(a, b) is strictly increasing, non-symmetric and homogeneous of degree one with re- spect to its variables. It can be expressed by ... See full document

... geometric, arithmetic, quadratic and contra-harmonic means of a and ...bivariate means are special cases of the Schwab-Borchardt ... 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 ... 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

... Optimal bounds for Neuman-Sándor mean in terms of the convex combinations of harmonic, geometric, quadratic, and contraharmonic ...some means derived from the Schwab-Borchardt ...some ... 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

... 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 ...one-parameter harmonic and geometric ... See full document

... It is well known that the Schwab-Borchardt mean SB(a, b) is strictly increasing in both a and b, nonsymmetric and homogeneous of degree . Many symmetric bivari- ate means are special cases of the Schwab-Borchardt ... See full document

... 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

... 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

... 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

... Correspondence: [email protected] 2 School of Mathematics and Computation Sciences, Hunan City University, Yiyang, 413000, China Full list of author information is available at the e[r] ... See full document

... Z.-H Yang [15] introduced two bivariate means denoted in the sequel by V and U ...bivariate means utilized in this work are given in Section 2. List of those means include two Seiffert ... See full document

... Abstract. In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various as- sumption for the positive invertible operators A, B. Some ... See full document

... It is well known that M(a, b; r) is continuous and strictly increasing with respect to r ∈ R for fixed a, b >  with a = b. Many classical means are the special cases of the power mean, for example, M(a, b; –) ... See full document

... In recent years many researchers invastigated inequalities introduced by Wilker (see [15]) and Huygens cf. [4]. Various generalizations of those inequalities have been published (see, e.g., [6, 7, 12]). The goal of this ... See full document

... 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 logarithmic and ... See full document

... holds for all a, b >  with a = b. The first inequality of (.) was first proposed by Carlson and Vuorinen [], it was proved in the literature [–] by different methods. Vamana- murthy and Vuorinen [] (also see [, ... See full document

... 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

... k ∈ 0, ∞ for fixed a, b > 0 with a / b. Let Aa, b a b/2, Ia, b 1/eb b /a a 1/b−a , La, b b − a/log b − log a, Ga, b √ ab, and Ha, b 2ab/a b be the arithmetic, identric, logarithmic, geometric, and ... See full document