On the generalized power-type Toader mean Page 1 Journal of Mathematical Inequalities
Volume 16, Number 1 (2022), 247–264 doi:10.7153/jmi-2022-16-18 ON THE GENERALIZED …

Monotonicity theorems and inequalities for the complete elliptic integrals - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
Page 1 M athematical I nequalities & A pplications Volume 21, Number 4 (2018), 1185-1199 …

In this paper, we study a class of Gaussian hypergeometric function 2F1 (a, b;(a+b+ 1)/2;
x)(a, b> 0), and find the maximal regions of ab plane in the first quadrant where the …

Optimal Bounds for Neuman‐Sándor Mean in Terms of the Convex Combinations of Harmonic,
Geometric, Quadratic, and Contraharmon Page 1 Hindawi Publishing Corporation Abstract and …

Asymptotic expansion and bounds for complete elliptic integrals Page 1 M athematical I
nequalities & A pplications Volume 23, Number 3 (2020), 821–841 doi:10.7153/mia-2020-23-67 …

Let 𝑞 be a real number, 0< 𝑢< 1 and 𝑥, 𝑦∈ R+ with 𝑥 ̸= 𝑦. Then the complete elliptic
integrals K (𝑢) and E (𝑢)[1–22] of the first and second kinds, geometric mean 𝐺 (𝑥, 𝑦) …

On certain inequalities for means, III Page 1 On certain inequalities for means, III By J. SAÂ
NDOR Abstract. A sequential method is applied to obtain inequalities between a mean …

We prove that the double inequalities I α 1 (a, b) Q 1-α 1 (a, b)< M (a, b)< I β 1 (a, b) Q 1-β 1
(a, b), I α 2 (a, b) C 1-α 2 (a, b)< M (a, b)< I β 2 (a, b) C 1-β 2 (a, b) hold for all a, b> 0 with a≠ …

For p∈ R the power mean Mp (a, b) of order p, the logarithmic mean L (a, b) and the
arithmetic mean A (a, b) of two positive real values a and b are defined by and A (a, b)= a+ …