Complete monotonicity and inequalities involving the \(k\)-gamma and \(k\)-polygamma functions
From MaRDI portal
Publication:6088276
DOI10.1515/ms-2023-0090OpenAlexW4387452926MaRDI QIDQ6088276
Li Yin, Honglian You, Ju-Mei Zhang
Publication date: 16 November 2023
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ms-2023-0090
Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Higher logarithm functions (33B30) Inequalities involving other types of functions (26D07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a \((p, k)\)-analogue of the gamma function and some associated inequalities
- Monotonicity of a mean related to polygamma functions with an application
- Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions
- Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function
- Some monotonicity properties and inequalities for the generalized digamma and polygamma functions
- Complete monotonicity of some functions involving polygamma functions
- On some properties of digamma and polygamma functions
- A monotonicity result of a function involving the gamma function
- Oscillation of a higher order neutral difference equation with a forcing term
- Completely monotonic and related functions
- A harmonic mean inequality for the gamma function
- On Gautschi's harmonic mean inequality for the gamma function
- Monotonicity, concavity, and inequalities related to the generalized digamma function
- Completely monotonic degrees for a difference between the logarithmic and psi functions
- A harmonic mean inequality for the digamma function and related results
- Oscillation results for higher order nonlinear neutral delay difference equations
- Integral representation of some functions related to the gamma function
- A Turán-type inequality for the gamma function
- Some completely monotonic functions involving polygamma functions and an application
- TWO NEW PROOFS OF THE COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE PSI FUNCTION
- Superadditive Functions and a Statistical Application
- Inequalities for the Polygamma Functions
- ON A GAMMA FUNCTION INEQUALITY OF GAUTSCHI
- Complete monotonicity of some functions involving k-digamma function with application
- A harmonic mean inequality for the polygamma function
- Some completely monotonic functions related to the psi function
- A Harmonic Mean Inequality for the Gamma Function
- Some Mean Value Inequalities for the Gamma Function
- On some inequalities for the gamma and psi functions
This page was built for publication: Complete monotonicity and inequalities involving the \(k\)-gamma and \(k\)-polygamma functions