Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means (Q2244646): Difference between revisions

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scientific article

Language	Label	Description	Also known as
English	Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means	scientific article

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scholarly article

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Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means (English)

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM

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publication date

12 November 2021

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zbMATH Keywords

arc lemniscate function

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lemniscatic mean

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geometric mean

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quadratic mean

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one-parameter mean

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s13398-021-01162-9

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Sharp power mean bounds for the lemniscate type means

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On approximating the arc lemniscate functions

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Sharp one-parameter geometric and quadratic means bounds for the Sándor-Yang means

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Bounding the convex combination of arithmetic and integral means in terms of one-parameter harmonic and geometric means

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Optimal two-parameter geometric and arithmetic mean bounds for the Sándor-Yang mean

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Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters

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Sharp bounds for the Toader-Qi mean in terms of harmonic and geometric means

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Bounding the Sándor-Yang means for the combinations of contraharmonic and arithmetic means

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Sharp bounds for the Toader mean of order 3 in terms of arithmetic, quadratic and contraharmonic means

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Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean

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Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means

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Sharp bounds for Neuman means in terms of geometric, arithmetic and quadratic means

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Sharp power mean bounds for two Sándor-Yang means

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Sharp bounds for the weighted Hölder mean of the zero-balanced generalized complete elliptic integrals

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Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means

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Precise bounds for the weighted Hölder mean of the complete \(p\)-elliptic integrals

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Concavity of the error function with respect to Hölder means

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Hölder mean inequalities for the complete elliptic integrals

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Concavity of the complete elliptic integrals of the second kind with respect to Hölder means

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Hölder mean inequalities for the generalized Grötzsch ring and Hersch-Pfluger distortion functions

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Convexity of the complete elliptic integrals of the first kind with respect to Hölder means

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A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean

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Bounds for the perimeter of an ellipse in terms of power means

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Sharp power mean inequalities for the generalized elliptic integral of the first kind

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Inequalities for generalized trigonometric and hyperbolic functions with one parameter

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A power mean inequality involving the complete elliptic integrals

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SOME FURTHER EXTENSIONS CONSIDERING DISCRETE PROPORTIONAL FRACTIONAL OPERATORS

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Shafer-Fink type inequalities for arc lemniscate functions

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Wilker and Huygens type inequalities for the Lemniscate functions

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Wilker and Huygens type inequalities for the Lemniscate functions, II

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Padé approximant related to inequalities for Gauss lemniscate functions

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New properties of the lemniscate function and its transformation

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A one-parameter family of bivariate means

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A ratio of finitely many gamma functions and its properties with applications

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Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function

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New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators

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On rational bounds for the gamma function

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Sharp rational bounds for the gamma function

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Sharp Gautschi inequality for parameter 0<p<1 with applications

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Monotonicity and convexity involving generalized elliptic integral of the first kind

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On the approximation of some special functions in Ramanujan's generalized modular equation with signature \(3^{\ast}\)

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Concavity and bounds involving generalized elliptic integral of the first kind

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On approximating the quasi-arithmetic mean

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A sharp double inequality involving generalized complete elliptic integral of the first kind

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Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind

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Approximations for the complete elliptic integral of the second Kind

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Macroscopic Schoen conjecture for manifolds with nonzero simplicial volume

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Asymptotic expansion and bounds for complete elliptic integrals

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New Hermite-Hadamard type inequalities for exponentially convex functions and applications

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Notes on the complete elliptic integral of the first kind

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Approximation for the complete elliptic integral of the first kind

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High accuracy asymptotic bounds for the complete elliptic integral of the second kind

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Monotonicity properties and bounds involving the complete elliptic integrals of the first kind

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Monotonicity properties and bounds for the complete \(p\)-elliptic integrals

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On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind

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A monotonicity property involving the generalized elliptic integral of the first kind

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Generalized Hersch-Pfluger distortion function and complete elliptic integrals

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On Alzer and Qiu's conjecture for complete elliptic integral and inverse hyperbolic tangent function

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An optimal power mean inequality for the complete elliptic integrals

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Sharp bounds for Toader-type means in terms of two-parameter means

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On some refinements for inequalities involving zero-balanced hypergeometric function

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Quadratic transformation inequalities for Gaussian hypergeometric function

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Extensions of quadratic transformation identities for hypergeometric functions

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The effect of market confidence on a financial system from the perspective of fractional calculus: numerical investigation and circuit realization

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Sharp Landen transformation inequalities for hypergeometric functions, with applications

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Landen inequalities for a class of hypergeometric functions with applications

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Refinements of transformation inequalities for zero-balanced hypergeometric functions

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Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions

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A new approach on fractional calculus and probability density function

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Transformation properties of hypergeometric functions and their applications

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S13398-021-01162-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:2244646

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