ON CONVEXITY AND POWER SERIES EXPANSION FOR LOGARITHM OF NORMALIZED TAIL OF POWER SERIES EXPANSION FOR SQUARE OF TANGENT.

Autor: GUI-ZHI ZHANG, FENG QI
Předmět:
Zdroj: Journal of Mathematical Inequalities; Sep2024, Vol. 18 Issue 3, p937-952, 16p
Abstrakt: In the paper, the authors introduce the normalized tail of the Maclaurin power series expansion of the square of the tangent function, find out the logarithmic convexity of the normalized tail in light of the monotonicity rule for the ratio of two series, and expand the logarithm of the normalized tail into a Maclaurin power series with the help of a formula for higher order derivatives of the ratio of two differentiable functions. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index