The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function
Mathematics, 2022 In this paper, we obtain some new natural approaches of Shafer-Fink inequality for arc sine function and the square of arc sine function by using the power series expansions of certain functions, which generalize and strengthen those in the existing ...
Ling Zhu
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Robust adaptive filtering algorithms based on (inverse)hyperbolic sine function. [PDF]
PLoS ONE, 2021 Recently, adaptive filtering algorithms were designed using hyperbolic functions, such as hyperbolic cosine and tangent function. However, most of those algorithms have few parameters that need to be set, and the adaptive estimation accuracy and ...
Sihai Guan +3 more
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New Bounds for the Sine Function and Tangent Function
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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Inverse fractional function setting sine trigonometric neutrosophic set approach to interaction aggregating operators [PDF]
Neutrosophic Sets and SystemsIn this paper we present novel techniques for the interacting aggregating operator of the inverse fractional function sine trigonometric neutrosophic set. Swapping the input and output variables and solving for the original input variable in terms of the
Murugan Palanikumar +2 more
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Convexity of the generalized sine function and the generalized hyperbolic sine function
Journal of Approximation Theory, 2013 \textit{B. A. Bhayo} and \textit{M. Vuorinen} [J. Approx. Theory 164, No. 10, 1415--1426 (2012; Zbl 1257.33052)] have introduced and studied generalized trigonometric and hyperbolic functions with two parameters. They posed also a conjecture on the effect that, when the parameters are greater than 1, then the generalized sine function is geometrically ...
Feng Qi, Miao-Kun Wang, Yu-Ming Chu
exaly +4 more sources
On the population model with a sine function
Mathematical Modelling and Analysis, 2006 In the interval [0,1] function sr(x) = r sin πx behaves similar to logistic function h μ (x) = μx(1‐ x). We prove that for every r > there exists subset ? ⊂ [0,1] such that sr : ? → ? is a chaotic function.
I. Bula, A. Vintere
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Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function
Mathematics, 2019 Let S s * be the class of normalized functions f defined in the open unit disk D = { z : | z | < 1 } such that the quantity z f ′ ( z ) f ( z ) lies in an eight-shaped region in the right-half plane and satisfying
Hai-Yan Zhang +2 more
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On a generalization of the sine function [PDF]
Glasnik matematički, 2003 A function s(x,y) = inf { ||x + y|| / ||x|| : } strictly connected with Birkhoff-James orthogonality is considered. This function may be used in functional equations theory, to provide unconditional equations in place of orthogonal equations in the sense of Birkhoff-James.
Tomasz Szostok, Szostok, Tomasz
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Refinements and generalizations of some inequalities of Shafer-Fink's type for the inverse sine function. [PDF]
J Inequal Appl, 2017 Malešević B, Rašajski M, Lutovac T.
europepmc +2 more sources
Cross-Correlation-Function-Based Multipath Mitigation Method for Sine-BOC Signals
Radioengineering, 2012 Global Navigation Satellite Systems (GNSS) positioning accuracy indoor and urban canyons environments are greatly affected by multipath due to distortions in its autocorrelation function.
H. H. Chen, W. M. Jia, M. L. Yao
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