Inequalities for the gamma and q-gamma functions
Copyright policy )Inequalities for the gamma and q-gamma functions
\textit{N. Batir} [JIPAM, J. Inequal. Pure Appl. Math. 5, No. 4, Paper No. 97 (2004; Zbl 1078.33001)] found some symmetrical upper and lower bounds for \(\Gamma(x)\) in terms of \(\psi(x)\). In this study, the authors improved Batir's results by getting sharp inequalities. At the end of the study they prove that similar results can be extended to the related \(q\)-gamma function.
- Florida Southern College United States
- University of South Florida United States
Psi and \(q\)-psi functions, Mathematics(all), Numerical Analysis, inequalities, Applied Mathematics, Inequalities for sums, series and integrals, mean values, monotonicity, Gamma, beta and polygamma functions, Analysis, Gamma and \(q\)-gamma functions
Psi and \(q\)-psi functions, Mathematics(all), Numerical Analysis, inequalities, Applied Mathematics, Inequalities for sums, series and integrals, mean values, monotonicity, Gamma, beta and polygamma functions, Analysis, Gamma and \(q\)-gamma functions
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