Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind
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Publication:6104256
DOI10.1080/10652469.2022.2155819zbMath1530.33023OpenAlexW4311744535MaRDI QIDQ6104256
Zai-Yin He, Qi Bao, Miao-Kun Wang, Tie-Hong Zhao
Publication date: 28 June 2023
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2022.2155819
Cites Work
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- A new form of the generalized complete elliptic integrals
- Bounds for the perimeter of an ellipse
- On the modulus of the Grötzsch ring
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Moments of Ramanujan's generalized elliptic integrals and extensions of Catalan's constant
- Complete \(p\)-elliptic integrals and a computation formula of \(\pi_p\) for \(p=4\)
- A family of high order approximations of Ramanujan type for perimeter of an ellipse
- Distortion theorems of plane quasiconformal mappings
- Turán type inequalities for generalized complete elliptic integrals
- Generalized elliptic integrals and modular equations
- Inequalities for means
- Some mean values related to the arithmetic-geometric mean
- Elliptic integral inequalities with applications
- Inequalities and infinite product formula for Ramanujan generalized modular equation function
- Sharp inequalities for the generalized elliptic integrals of the first kind
- On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
- Monotonicity properties and inequalities for the generalized elliptic integral of the first kind
- Asymptotical bounds for complete elliptic integrals of the second kind
- Monotonicity theorems and inequalities for the Hübner function with applications
- Sharp bounds for the Toader mean in terms of arithmetic and geometric means
- Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type
- Inequalities for generalized Grötzsch ring function
- A positive answer to Bhatia-Li conjecture on the monotonicity for a new mean in its parameter
- Optimal bounds for the tangent and hyperbolic sine means
- Monotonicity and convexity involving generalized elliptic integral of the first kind
- Optimal bounds for two Seiffert-like means in exponential type
- Optimal bounds of exponential type for arithmetic mean by Seiffert-like mean and centroidal mean
- Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity
- Generalized elliptic integrals and the Legendre \(\mathcal M\)-function
- Monotonicity and functional inequalities for the complete \(p\)-elliptic integrals
- Series expansions for the third incomplete elliptic integral via partial fraction decompositions
- Inequalities for the ratio of complete elliptic integrals
- Functional Inequalities for Complete Elliptic Integrals and Their Ratios
- On Seiffert-like means
- Remarks on generalized elliptic integrals
- Asymptotic Expansion of the First Elliptic Integral
- Sharp inequalities for the complete elliptic integral of the first kind
- A Monotonicity Property Involving 3F2 and Comparisons of the Classical Approximations of Elliptical Arc Length
- Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
- An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse
- A concavity property of generalized complete elliptic integrals
- Optimal bounds of the arithmetic mean in terms of new Seiffert-like means
- Optimal bounds for the tangent and hyperbolic sine means II
- Topics in special functions. II
