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Some inequalities for the Chi square distribution function and the exponential functions

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Publication:689797
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DOI10.1007/BF01202311zbMath0778.33001MaRDI QIDQ689797

Milan J. Merkle

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

exponential functionconvexityGamma function


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)


Related Items

Monotonicity properties and bounds for the chi-square and gamma distributions ⋮ Inequalities for residuals of power expansions for the exponential function and completely monotone functions ⋮ An inequality for residual of Maclaurin expansion ⋮ Functional inequalities for the incomplete gamma function ⋮ Inequalities for the tail of the exponential series ⋮ A perturbative approach to the reconstruction of the eigenvalue spectrum of a normal covariance matrix from a spherically truncated counterpart ⋮ Some inequalities related to incomplete gamma function ⋮ Inequalities for the chi square distribution function



Cites Work

  • An inequality for the exponential function
  • Some theorems on residues
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