Results 11 to 20 of about 12,175,996 (314)
Sharp inequalities for tangent function with applications [PDF]
Journal of Inequalities and Applications, 2017 In the article, we present new bounds for the function e t cot ( t ) − 1 $e^{t\cot(t)-1}$ on the interval ( 0 , π / 2 ) $(0, \pi/2)$ and find sharp estimations for the Sine integral and the Catalan constant based on a new monotonicity criterion for the ...
Hui-Lin Lv +3 more
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Approximations to inverse tangent function [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we present a sharp Shafer-type inequality for the inverse tangent function. Based on the Padé approximation method, we give approximations to the inverse tangent function. Based on the obtained result, we establish new bounds for arctanx.
Quan-Xi Qiao, Chao-Ping Chen
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Integrals of hyperbolic tangent function [PDF]
Discrete Mathematics Letters, 2023 By means of the contour integration method, we evaluate, in closed form, a class of definite integrals involving hyperbolic tangent function.
Jing Li, Wenchang Chu
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New Bounds for the Sine Function and Tangent Function [PDF]
Mathematics, 2021 Using the power series expansion technique, this paper established two new inequalities for the sine function and tangent function bounded by the functions x2sin(λx)/(λx)α and x2tan(μx)/(μx)β.
Ling Zhu
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Starlikeness Associated with Tangent Hyperbolic Function [PDF]
Journal of Function Spaces, 2022 The primary objective of this study is to establish a class of starlike functions (symmetric under rotation) that are related to a tangent hyperbolic.
Huo Tang +5 more
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Decreasing property of ratio of two logarithmic expressions involving tangent function
Mathematical and Computer Modelling of Dynamical SystemsIn this article, the authors review three proofs of the decreasing property of the ratio of two logarithmic expressions. With the help of the monotonicity rule for the ratio of two differentiable functions, the authors provide an alternative proof of the
Feng Qi +2 more
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Log-tangent integrals and the Riemann zeta function [PDF]
Mathematical Modelling and Analysis, 2019 We show that integrals involving the log-tangent function, with respect to any square-integrable function on , can be evaluated by the harmonic series. Consequently, several formulas and algebraic properties of the Riemann zeta function at odd positive ...
Lahoucine Elaissaoui +1 more
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Unification of all hyperbolic tangent function methods [PDF]
Open Physics, 2016 Over the last twenty years, several “different” hyperbolic tangent function methods have been proposed to search solutions for nonlinear partial differential equations (NPDEs).
Gözükızıl Ömer Faruk +2 more
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Multi-Scroll Chaotic Attractors in SC-CNN via Hyperbolic Tangent Function [PDF]
Electronics (Switzerland), 2018 A State Controlled-Cellular Neural Network (SC-CNN) based chaotic model for generating multi-scroll attractors via hyperbolic tangent function series is proposed in this paper. After presenting the double scroll generation, the presented SC-CNN system is
Kenan Altun, Enis Gunay
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An arc tangent function demodulation method of fiber-optic Fabry-Perot high-temperature pressure sensor [PDF]
Photonic Sensors, 2017 A new demodulation algorithm of the fiber-optic Fabry-Perot cavity length based on the phase generated carrier (PGC) is proposed in this paper, which can be applied in the high-temperature pressure sensor. This new algorithm based on arc tangent function
Qianyu Ren +4 more
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