In this article, we present the least values Î±1 , Î±2 , and the greatest values Î²1 , Î²2 such that the double inequalities Î±1L(a,b)+(1âˆ’Î±1)Q(a,b) < M(a,b) < Î²1L(a,b)+(1âˆ’Î²1)Q(a,b) Î±2L(a,b)+(1âˆ’Î±2)C(a,b) <â€¦ (More)

The goal of this article is to show that five explicitly given transformations, a rotation, two screw Heisenberg rotations, a vertical translation and an involution generate the Euclidean Picardâ€¦ (More)

In this paper, we present the best possible parameters Î±i,Î²i (i = 1, 2, 3) and Î±4,Î²4 âˆˆ (1/2, 1) such that the double inequalities Î±1Q(a,b) + (1 âˆ’Î±1)C(a,b) < TQ,C(a,b) < Î²1Q(a,b) + (1 âˆ’Î²1)C(a,b),â€¦ (More)

In this paper, we find the greatest values [Formula: see text] and the smallest values [Formula: see text] such that the double inequalities [Formula: see text] and [Formula: see text] hold for allâ€¦ (More)