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On approximating the error function (Q4634661)

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scientific article; zbMATH DE number 6858120

Language	Label	Description	Also known as
English	On approximating the error function	scientific article; zbMATH DE number 6858120

Statements

scholarly article

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On approximating the error function (English)

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Mathematical Inequalities & Applications

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publication date

11 April 2018

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zbMATH Keywords

error function

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gamma function

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monotonicity

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bound

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.7153/mia-2018-21-32

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On some inequalities for the incomplete gamma function

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Functional inequalities for the error function

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Functional inequalities for the error function. II

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Error function inequalities

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On Bounds for the Normal Integral

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Inequalities for \(\alpha\)-fractional differentiable functions

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Best possible inequalities for the harmonic mean of error function

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Hölder mean inequalities for the complete elliptic integrals

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Optimal Lehmer mean bounds for the Toader mean

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Bounds for complete elliptic integrals of the second kind with applications

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Schur convexity and Hadamard's inequality

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The Schur multiplicative and harmonic convexities of the complete symmetric function

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The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications

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Concavity of the error function with respect to Hölder means

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Rational Chebyshev Approximations for the Error Function

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Approximating Mills ratio

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Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function

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A Close Approximation Related to the Error Function

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Monotonicity results and inequalities for the gamma and error functions

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Optimal lower and upper bounds for the geometric convex combination of the error function

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Inequalities and bounds for the incomplete gamma function

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Asymptotical bounds for complete elliptic integrals of the second kind

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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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Asymptotical formulas for Gaussian and generalized hypergeometric functions

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Bounds for the perimeter of an ellipse

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An optimal power mean inequality for the complete elliptic integrals

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Generalized Hersch-Pfluger distortion function and complete elliptic integrals

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Inequalities for the generalized elliptic integrals and modular functions

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Optimal inequalities for the convex combination of error function

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On approximating the error function

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

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A double inequality for the trigamma function and its applications

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Monotonicity criterion for the quotient of power series with applications

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Monotonicity rule for the quotient of two functions and its application

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On rational bounds for the gamma function

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

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Remarks on generalized elliptic integrals

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Convexity with respect to Hölder mean involving zero-balanced hypergeometric functions

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Identifiers

zbMATH Open document ID

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10.7153/mia-2018-21-32

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4634661

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