DOI10.1006/jmaa.1994.1137zbMath0802.26009OpenAlexW1969129084MaRDI QIDQ1329320
Matti Vuorinen, Mavina K. Vamanamurthy
Publication date: 11 December 1994
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1994.1137
Approximations for the complete elliptic integral of the second Kind ⋮
Hölder mean inequalities for the complete elliptic integrals ⋮
Monotonicity of functions connected with the gamma function and the volume of the unit ball ⋮
Inequalities and bounds for elliptic integrals ⋮
New sharp bounds for logarithmic mean and identric mean ⋮
Generalized convexity and inequalities involving special functions ⋮
Absolute monotonicity involving the complete elliptic integrals of the first kind with applications ⋮
Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮
Optimal combinations bounds of root-square and arithmetic means for Toader mean ⋮
Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3 ⋮
On the generalized power-type Toader mean ⋮
Optimal bounds for the Neuman-Sándor mean in terms of the convex combination of the first and second Seiffert means ⋮
Optimal generalized Heronian mean bounds for the logarithmic mean ⋮
Refinement of an integral inequality ⋮
Two optimal double inequalities between power mean and logarithmic mean ⋮
Some mean values related to the arithmetic-geometric mean ⋮
Sharp inequalities involving the power mean and complete elliptic integral of the first kind ⋮
Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters ⋮
The t-modification of homogeneous symmetric means concerning complete elliptic integrals ⋮
On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind ⋮
New inequalities for hyperbolic functions and their applications ⋮
Sharp bounds for seiffert and Neuman-Sándor means in terms of generalized logarithmic means ⋮
Concise high precision approximation for the complete elliptic integral of the first kind ⋮
Bounds for symmetric elliptic integrals. ⋮
On approximating the Toader mean by other bivariate means ⋮
A new upper bound for the complete elliptic integral of the first kind ⋮
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind ⋮
Optimal bounds for Neuman-Sándor mean in terms of the convex combinations of harmonic, geometric, quadratic, and contraharmonic means ⋮
Optimal inequalities between harmonic, geometric, logarithmic, and arithmetic-geometric means ⋮
Inequalities between power means and convex combinations of the harmonic and logarithmic means ⋮
Lazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applications ⋮
An optimal power mean inequality for the complete elliptic integrals ⋮
Sharp inequalities for the complete elliptic integrals of the first and second kinds ⋮
An optimal double inequality between geometric and identric means ⋮
Discrete monotonicity of means and its applications ⋮
A sharp double inequality between harmonic and identric means ⋮
On Alzer and Qiu's conjecture for complete elliptic integral and inverse hyperbolic tangent function ⋮
Concavity of the complete elliptic integrals of the second kind with respect to Hölder means ⋮
A sharp lower bound for the complete elliptic integrals of the first kind ⋮
Optimal Lehmer mean bounds for the combinations of identric and logarithmic means ⋮
Inequalities between arithmetic-geometric, Gini, and Toader means ⋮
Convexity of the complete elliptic integrals of the first kind with respect to Hölder means ⋮
Landen inequalities for a class of hypergeometric functions with applications ⋮
Inequalities for the Gaussian hypergeometric function ⋮
Euclidean distance-based skeletons: a few notes on average outward flux and ridgeness ⋮
Sharp Cusa type inequalities with two parameters and their applications ⋮
A general refinement of Jordan-type inequality ⋮
On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind ⋮
Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean ⋮
Generalized Lazarevic's inequality and its applications. II. ⋮
Sharp bounds for the arithmetic-geometric mean ⋮
Functional means and harmonic functional means ⋮
Monotonicity theorems and inequalities for the complete elliptic integrals ⋮
Optimal lower power mean bound for the convex combination of harmonic and logarithmic means ⋮
An arithmetic-geometric mean inequality ⋮
ON TWO NEW MEANS OF TWO ARGUMENTS III ⋮
Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean ⋮
Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means ⋮
On approximating the modified Bessel function of the first kind and Toader-Qi mean ⋮
Optimal bounds for Gaussian arithmetic-geometric mean with applications to complete elliptic integral ⋮
Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems ⋮
Landen inequalities for Gaussian hypergeometric function ⋮
Some Padé approximations and inequalities for the complete elliptic integrals of the first kind ⋮
The Schur harmonic convexity of the Hamy symmetric function and its applications ⋮
Some mean values related to the quasi-arithmetic mean ⋮
A new weighted metric: the relative metric. I ⋮
Sharp bounds for generalized elliptic integrals of the first kind ⋮
Accurate approximations for the complete elliptic integral of the second kind
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