Results 1 to 10 of about 35,940 (238)

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
doaj   +6 more sources

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, Zhen-Hang Yang, Tian-Qi Luo, Shen-Zhou Zheng   +3 more
doaj   +6 more sources

Starlikeness Associated with Tangent Hyperbolic Function

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, Muhammad Arif, Khalil Ullah, Nazar Khan, Mirajul Haq, Bilal Khan   +5 more
doaj   +3 more sources

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
doaj   +2 more sources

Log-tangent integrals and the Riemann zeta function

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, Zine El-Abidine Guennoun   +1 more
doaj   +5 more sources

On Analytic Univalent Function Associated With Tangent Hyperbolic Function [PDF]

Sahand Communications in Mathematical Analysis
Within this article, we propose some sufficient conditions for analytic functions correlated with tangent hyperbolic function. We investigate convolution conditions, integral conservation properties and coefficient sufficiency criteria for this family of
Gehan Elyazyd, Matthew Oluwayemi, Atef Elmahdy, Hanan Darwish   +3 more
doaj   +2 more sources

Integrals of hyperbolic tangent function [PDF]

Discrete Mathematics Letters
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
doaj   +3 more sources

A NOTE ON THE BECKER-STARK TYPE INEQUALITIES

Проблемы анализа, 2022
This note is devoted to establishing the sharp bounds for the function 𝑥/ tg 𝑥, thus refining the well-known Becker-Stark’s inequality.
R. M. Dhaigude, Y. J. Bagul
doaj   +1 more source

Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making [PDF]

Journal of Soft Computing in Civil Engineering, 2018
Refined simplified neutrosophic sets (RSNSs) are appropriately used in decision-making problems with sub-attributes considering their truth components, indeterminacy components, and falsity components independently.
Uwera Solang, Jun Ye
doaj   +1 more source

Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions

Journal of Applied Mathematics, 2021
Asymptotic approximations of Tangent polynomials, Tangent-Bernoulli, and Tangent-Genocchi polynomials are derived using saddle point method and the approximations are expressed in terms of hyperbolic functions. For each polynomial there are two approximations derived with one having enlarged region of validity.
Cristina B. Corcino, Roberto B. Corcino, Jay M. Ontolan   +2 more
openaire   +3 more sources