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

DOI10.1186/s13660-015-0906-yzbMath1332.33003OpenAlexW2187489110WikidataQ59435044 ScholiaQ59435044MaRDI QIDQ896521

Wei-Feng Xia, Yu-Ming Chu, Xiao-Hui Zhang, Yong-Min Li

Publication date: 9 December 2015

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0906-y

zbMATH Keywords

error functionfunctional inequalitiespower mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (6)

Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ On approximating the error function ⋮ Monotonicity and inequalities involving the incomplete gamma function ⋮ Monotonicity and inequalities involving zero-balanced hypergeometric function ⋮ Some Padé approximations and inequalities for the complete elliptic integrals of the first kind ⋮ On approximating the error function

Uses Software

• DLMF
• Equator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional inequalities for the error function. II
• Geometrically convex solutions of certain difference equations and generalized Bohr-Mollerup type theorems
• Error function inequalities
• An inequality for the product of two integrals relating to the incomplete gamma function
• Best possible inequalities for the harmonic mean of error function
• Mills' ratio: Monotonicity patterns and functional inequalities
• Generalized convexity and inequalities
• Notes on the constructions of rational approximations for the error function and for similar functions
• On the maximization of divergence in pattern recognition (Corresp.)
• Convexity according to the geometric mean
• Optimal inequalities for the convex combination of error function
• Reduced Cancellation in the Evaluation of Entire Functions and Applications to the Error Function
• Rational Chebyshev Approximations for the Error Function
• A Close Approximation Related to the Error Function
• Uniform Computation of the Error Function and Other Related Functions

This page was built for publication: Optimal lower and upper bounds for the geometric convex combination of the error function