Unified treatment of Gautchi-Kershaw type inequalities for the gamma function
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Publication:1298559
DOI10.1016/S0377-0427(98)00154-XzbMath0932.33001OpenAlexW1982472009MaRDI QIDQ1298559
Carla Giordano, Josip E. Pečarić, Andrea Laforgia
Publication date: 7 March 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00154-x
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Inequalities involving other types of functions (26D07)
Related Items (9)
On the Bernstein-type inequalities for ultraspherical polynomials ⋮ Bounds for \(q\)-integrals of \({}_{r+1}\psi_{r+1}\) with applications ⋮ Two inequalities for \(_{r}\varphi _{r}\) and applications ⋮ Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem ⋮ Bounds for the ratio of two gamma functions ⋮ Inequalities and monotonicity properties for the gamma function ⋮ Monotonicity of some functions involving the gamma and psi functions ⋮ Norm estimates in the Hardy spaces of the disk by use of the Gamma function ⋮ An inequality for \(q\)-integral and its applications
Cites Work
- Inequalities for ultraspherical polynomials and the gamma function
- A generalization of some inequalities for the gamma function
- Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
- Some Extensions of W. Gautschi's Inequalities for the Gamma Function
- Further Inequalities for the Gamma Function
- On Gamma Function Inequalities
- An inequality for Legendre polynomials
- A Bernstein-Type Inequality for the Jacobi Polynomial
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