Some inequalities for bounding Toader mean
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Publication:352566
DOI10.1155/2013/394194zbMath1275.26053OpenAlexW2130123646WikidataQ59014066 ScholiaQ59014066MaRDI QIDQ352566
Publication date: 5 July 2013
Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/394194
Related Items (15)
A family of high order approximations of Ramanujan type for perimeter of an ellipse ⋮ Sharp approximations for the complete elliptic integrals of the second kind by one-parameter means ⋮ Optimal convex combination bounds of geometric and Neuman means for Toader-type mean ⋮ Sharp bounds for Toader mean in terms of arithmetic and second contraharmonic means ⋮ Absolute monotonicity of the accuracy of Ramanujan approximations for perimeter of an ellipse ⋮ Optimal evaluation of a Toader-type mean by power mean ⋮ A double inequality for an integral mean in terms of the exponential and logarithmic means ⋮ Sharp bounds for Neuman-Sándor's mean in terms of the root-mean-square ⋮ Optimal inequalities for bounding Toader mean by arithmetic and quadratic means ⋮ High accuracy asymptotic bounds for the complete elliptic integral of the second kind ⋮ Sharp bounds for the Toader mean in terms of arithmetic and geometric means ⋮ Sharp generalized Seiffert mean bounds for the Toader mean of order 4 ⋮ On approximating the modified Bessel function of the first kind and Toader-Qi mean ⋮ Sharp bounds for the Neuman-Sándor mean in terms of the power and contraharmonic means ⋮ Sharp bounds for Toader mean in terms of arithmetic, quadratic, and Neuman means
Cites Work
- Optimal combinations bounds of root-square and arithmetic means for Toader mean
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Refinements, generalizations, and applications of Jordan's inequality and related problems
- Some mean values related to the arithmetic-geometric mean
- Bounds for symmetric elliptic integrals.
- Inequalities and bounds for elliptic integrals
- The best bounds for Toader mean in terms of the centroidal and arithmetic means
- Some bounds for the complete elliptic integrals of the first and second kinds
- Some sharp inequalities involving Seiffert and other means and their concise proofs
- An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse
- Some inequalities for complete elliptic integrals
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