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Optimal inequalities for the convex combination of error function

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Publication:5249818
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DOI10.7153/JMI-09-08zbMath1314.33003OpenAlexW2515359263MaRDI QIDQ5249818

Wei-Feng Xia, Yu-Ming Chu

Publication date: 12 May 2015

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-09-08.pdf


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 (8)

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 ⋮ Optimal lower and upper bounds for the geometric convex combination of the error function ⋮ Extensions and applications of power-type Aczél-Vasić-Pečarić's inequalities ⋮ Monotonicity and inequalities involving zero-balanced hypergeometric function ⋮ Majorization theorems for strongly convex functions ⋮ On approximating the error function


Uses Software

  • DLMF
  • Equator






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