Approximations to inverse tangent function
نویسندگان
چکیده
منابع مشابه
A Sharp Double Inequality for the Inverse Tangent Function
The inverse tangent function can be bounded by different inequalities, for example by Shafer’s inequality. In this publication, we propose a new sharp double inequality, consisting of a lower and an upper bound, for the inverse tangent function. In particular, we sharpen Shafer’s inequality and calculate the best corresponding constants. The maximum relative errors of the obtained bounds are ap...
متن کاملRationality and the Tangent Function
The irrational nature of values of the circular trigonometric functions at rational multiples of pi (angles with rational degree measure) has been well studied [L1, N, O, U, CT]. The tangent function takes a secondary role in these treatments. This is unfortunate since, “...the tan function may be considered more fundamental than either cos or sin” (Stillwell [S2], p. 156). Arguments for this v...
متن کاملShape Classification Using Simplification and Tangent Function
In this paper we propose a new approach for image classification by simplifying contour of shape and making use of the tangent function as image feature. We firstly extract shapes from a sample image and connecting pixels of its contour. The extracted contour is simplified by our algorithm and converted into tangent function which is regarded as a feature. The tangent function represented a sha...
متن کاملSharp inequalities for tangent function with applications
In the article, we present new bounds for the function [Formula: see text] on the interval [Formula: see text] and find sharp estimations for the Sine integral and the Catalan constant based on a new monotonicity criterion for the quotient of power series, which refine the Redheffer and Becker-Stark type inequalities for tangent function.
متن کاملImplementation of Hyperbolic Tangent Function to Estimate Size Distribution of Rock Fragmentation by Blasting in Open Pit Mines
Rock fragmentation is one of the desired results of rock blasting. So, controlling and predicting it, has direct effects on operational costs of mining. There are different ways that could be used to predict the size distribution of fragmented rocks. Mathematical relations have been widely used in these predictions. From among three proposed mathematical relations, one was selected in this stud...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2018
ISSN: 1029-242X
DOI: 10.1186/s13660-018-1734-7