In this paper, we present and prove some inequalities involving the ratios Γ k (t) Γp(t) and Γ k (t) Γq(t). Our approach makes use of the series representations of the functions ψ p (t), ψ q (t) and ψ k (t).
In this study, a new continuous distribution called the Kumaraswamy Erlang-truncated exponential distribution is introduced and studied. The mathematical properties of the new model such as the quantile function, moments and moment generating function and order statistics are derived. The estimation of the parameters of the model is approached by the method of maximum likelihood. The importance of the model is illustrated by means of application to real data set.
We present some monotonic functions and some generalized inequalities involving the ratios of analogues of the Gamma function.
Mathematics Subject Classification: 33B15, 26A48
In this paper, we improve the results of Shabani [7] concerning some inequalities for the Gamma function. Our approach makes use of the logarithmic derivative of products of the Gamma function. We also present some p-analogues.
Mathematics Subject Classification: 33B15
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