Some inequalities of the incomplete gamma and related functions

DOI10.4171/ZAA/914zbMath0934.33001MaRDI QIDQ1806202

Feng Qi, Jia-Qiang Mei

Publication date: 10 April 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48371

zbMATH Keywords

complementary error functionincomplete gamma function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Inequalities involving other types of functions (26D07)

Related Items (15)

Monotonicity properties and bounds for the chi-square and gamma distributions ⋮ MacLaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function ⋮ Monotonicity and inequalities involving the incomplete gamma function ⋮ Monotonicity of the incomplete gamma function with applications ⋮ On approximating the error function ⋮ Inequalities and bounds for the incomplete gamma function ⋮ New sharp approximations involving incomplete gamma functions ⋮ Unnamed Item ⋮ Some new inequalities for beta distributions ⋮ A class of logarithmically completely monotonic functions associated with a gamma function ⋮ Logarithmically complete monotonicity properties relating to the gamma function ⋮ Weighted integral and integro-differential inequalities ⋮ Approximation by exponential sums revisited ⋮ New bounds for the function involving incomplete gamma function ⋮ Certain inequalities for the modified Bessel-type function

Cites Work

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• Monotonicity results and inequalities for the gamma and error functions
• Inequalities for Generalized Weighted Mean Values of Convex Function
• Generalized weighted mean values with two parameters
• Inequalities for the Incomplete Gamma and Related Functions
• Monotonicity results and inequalities for the gamma and incomplete gamma functions
• Some inequalities constructed by Tchebysheff's integral inequality
• Note on monotonicity of generalized weighted mean values
• Analytic Inequalities

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