The aim of this paper is to provide a natural approach of Wilker-Cusa-Huygens inequalities. This new approach permits us to give new proofs then to refine much these inequalities and we are convinced… Expand

AbstractLet γ=0.577215664… denote the Euler-Mascheroni constant, and let the sequences
The main aim of this paper is to find the values r, s, t, a, b, c and d which provide the fastest sequences… Expand

The aim of this paper is to establish some inequalities related to Ramanujan-type approximation series of the constant π and other classical constants such as Apéry’s constant and Catalan’s constant.

We propose new sequences containing a modified logarithmic term which converge to the Euler-Mascheroni constant faster than sequences known from the literature.Expand

Abstract The purpose of this Note is to construct a new type of Stirling series, which extends the Gosper's formula for big factorials. New sharp inequalities for the gamma and digamma functions are… Expand