A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine
Copyright policy )A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine
AbstractIn this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of specific determinants and prove a decreasing property of the ratio of two logarithmic expressions containing the cosine function.
- Hulunbuir University China (People's Republic of)
- Henan Polytechnic University China (People's Republic of)
Elementary functions, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), derivative formula, 33b10, logarithmic expression, Exponential and trigonometric functions, Maclaurin power series expansion, decreasing property, 26a09, ratio of two differentiable functions, QA1-939, monotonicity rule, maclaurin power series expansion, 41a58, Mathematics, cosine function
Elementary functions, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), derivative formula, 33b10, logarithmic expression, Exponential and trigonometric functions, Maclaurin power series expansion, decreasing property, 26a09, ratio of two differentiable functions, QA1-939, monotonicity rule, maclaurin power series expansion, 41a58, Mathematics, cosine function
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