Padé approximant related to remarkable inequalities involving trigonometric functions
نویسندگان
چکیده
منابع مشابه
Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality
Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text]) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new upper bounds for [Formula: see text]. As an application, we give a generalized Carleman-type inequality.
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Based on the Padé approximation method, we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text]) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new bounds for the gamma function.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2016
ISSN: 1029-242X
DOI: 10.1186/s13660-016-1044-x