Asymptotical bounds for complete elliptic integrals of the second kind

From MaRDI portal
Publication:1947267

DOI10.1016/j.jmaa.2013.01.016zbMath1264.33029arXiv1209.0066OpenAlexW2963190077MaRDI QIDQ1947267

Miao-Kun Wang, Yu-Ming Chu

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0066




Related Items (42)

Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic meansA family of high order approximations of Ramanujan type for perimeter of an ellipseApproximations for the complete elliptic integral of the second KindSharp bounds for Gauss lemniscate functions and lemniscatic meansMonotonicity of the ratio for the complete elliptic integral and Stolarsky meanA monotonicity theorem for the generalized elliptic integral of the first kindMonotonicity, convexity and inequalities involving the generalized elliptic integralsSharp bounds for Toader-type means in terms of two-parameter meansTopics in Special Functions IIISharp approximations for the complete elliptic integrals of the second kind by one-parameter meansSharp inequalities for the Toader mean of order -1 in terms of other bivariate meansOptimal convex combination bounds of geometric and Neuman means for Toader-type meanSharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parametersMonotonicity, convexity, and inequalities for the generalized elliptic integralsThe t-modification of homogeneous symmetric means concerning complete elliptic integralsSome new inequalities of Hermite-Hadamard type for \(s\)-convex functions with applicationsMonotonicity and concavity properties of the Gaussian hypergeometric functions, with applicationsAbsolute monotonicity of the accuracy of Ramanujan approximations for perimeter of an ellipseSharp weighted Hölder mean bounds for the complete elliptic integral of the second kindInequalities for the ratio of complete elliptic integralsSharp inequalities for the complete elliptic integrals of the first and second kindsSharp bounds for Sándor-Yang means in terms of quadratic meanBounds for the perimeter of an ellipse in terms of power meansA necessary and sufficient condition for the convexity of the generalized elliptic integral of the first kind with respect to Hölder meanLanden inequalities for a class of hypergeometric functions with applicationsOn the approximation of some special functions in Ramanujan's generalized modular equation with signature \(3^{\ast}\)On approximating the arithmetic-geometric mean and complete elliptic integral of the first kindMonotonicity rule for the quotient of two functions and its applicationHigh accuracy asymptotic bounds for the complete elliptic integral of the second kindSharp bounds for the Toader mean in terms of arithmetic and geometric meansInfinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion functionOptimal inequalities for a Toader-type mean by quadratic and contraharmonic meansMonotonicity and inequalities involving zero-balanced hypergeometric functionOn approximating the quasi-arithmetic meanMajorization theorems for strongly convex functionsSharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic meanA note on generalized convex functionsHermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applicationsPrecise estimates for the solution of Ramanujan's generalized modular equationBounding the Sándor-Yang means for the combinations of contraharmonic and arithmetic meansOn approximating the error functionAccurate approximations for the complete elliptic integral of the second kind




This page was built for publication: Asymptotical bounds for complete elliptic integrals of the second kind