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Abstract. In the paper, the authors bound the gamma function, the digamma function, and the harmonic numbers in terms of the exponent of fractional functions and several trigonometric functions such as the tangent, hyperbolic tangent, secant, and cosecant functions.
DOI: 10.14232/actasm-016-813-x
AMS Subject Classification
(1991): 33B15, 26A48, 26D05, 33B10
Keyword(s):
bound,
gamma function,
digamma function,
trigonometric function,
fractional function,
exponential function,
inequality,
harmonic number,
monotonicity
Received November 1, 2016. (Registered under 63/2016.)
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