In this work, we estimate the bounds for the logarithmic coefficients γn of some well-known classes like F(c) for c ∈ (0, 0.656] ∪ {2}. The best bound obtained for the logarithmic coefficient |γ5| is sharp for c = 2. In a special case, it is important to note that we obtain the bounds for the logarithmic coefficients γn of the convex functions of order α for some α. It is worthwhile mentioning that the given bounds would generalize some of the previous papers.
