82 research outputs found
Monotonicity and logarithmic convexity relating to the volume of the unit ball
Let stand for the volume of the unit ball in for
. In the present paper, we prove that the sequence
is logarithmically convex and that the sequence
is strictly
decreasing for . In addition, some monotonic and concave properties of
several functions relating to are extended and generalized.Comment: 12 page
Fast convergence of generalized DeTemple sequences and the relation to the Riemann zeta function
Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality
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