On proofs for monotonicity of a function involving the psi and exponential functions

DOI10.1524/anly.2013.1175zbMath1273.33004OpenAlexW2065231678MaRDI QIDQ4915418

Feng Qi, Bai-Ni Guo, Wen-Hui Li

Publication date: 10 April 2013

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2013.1175

zbMATH Keywords

monotonicitydigamma function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48)

Related Items

Complete monotonicity of divided differences of the di- and tri-gamma functions with applications ⋮ A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ A double inequality for the trigamma function and its applications ⋮ Some inequalities for the trigamma function in terms of the digamma function ⋮ Complete monotonicity of functions involving the \(q\)-trigamma and \(q\)-tetragamma functions ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions

Cites Work

• Inequalities for the Euler-Mascheroni constant
• Remarks on some completely monotonic functions
• Sharp inequalities for the harmonic numbers
• On some properties of digamma and polygamma functions
• Bounds for the ratio of two gamma functions
• Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic
• Some completely monotonic functions involving polygamma functions and an application
• A CLASS OF COMPLETELY MONOTONIC FUNCTIONS INVOLVING DIVIDED DIFFERENCES OF THE PSI AND TRI-GAMMA FUNCTIONS AND SOME APPLICATIONS
• Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
• Sharp inequalities for the digamma and polygamma functions