Integral method from even to odd order for trigonometric B-spline basis
The conventional trigonometric B-spline basis of odd order for piecewise trigonometric polynomial space possesses a lot of good modeling properties. However, its order cannot be increased by the integral method like B-spline because of the particularity ...
Mei Li, Wanqiang Shen
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Trigonometric words ranking model for spam message classification
Abstract The significant increase in the volume of fake (spam) messages has led to an urgent need to develop and implement a robust anti‐spam method. Several of the current anti‐spam systems depend mainly on the word order of the message in determining the spam message, which results in the system's inability to predict the correct type of message when
Suha Mohammed Hadi+7 more
wiley +1 more source
Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane [PDF]
In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.
Paweł Karczmarek
doaj
On the integrability of complex trigonometric series [PDF]
The classical criterion for the Fourier character of cosine series and sine series is generalized to complex trigonometric series. Our treatment unifies the ideas applied to cosine and sine series. A notion of complex convex sequences is developed generalizing a result of Young [1] concerning the integrability of cosine series.
William O. Bray, Vera B. Stanojevic
openaire +2 more sources
Sharp Bounds for Trigonometric and Hyperbolic Functions with Application to Fractional Calculus
Sharp bounds for cosh(x)x,sinh(x)x, and sin(x)x were obtained, as well as one new bound for ex+arctan(x)x. A new situation to note about the obtained boundaries is the symmetry in the upper and lower boundary, where the upper boundary differs by a ...
Vuk Stojiljković+4 more
semanticscholar +1 more source
Efficient algorithms for integrals with highly oscillatory Hankel kernels
We present an efficient numerical algorithm for approximating integrals with highly oscillatory Hankel kernels. First, using the integral expression of the Hankel function, the integral is transformed into the integral of the trigonometric kernel, and ...
Qinghua Wu, Mengjun Sun
doaj
A new structure of an integral operator associated with trigonometric Dunkl settings
In this paper, we discuss a generalization to the Cherednik–Opdam integral operator to an abstract space of Boehmians. We introduce sets of Boehmians and establish delta sequences and certain class of convolution products. Then we prove that the extended
Shrideh Khalaf Al-Omari+2 more
doaj +1 more source
The propagation of optical soliton profiles in plasma physics and atomic structures is represented by the (1+1)−dimensional Schrödinger dynamical equation, which is the subject of this study.
Muhammad Abu Bakar+4 more
semanticscholar +1 more source
Hyperbolic and trigonometric hypergeometric solutions to the star-star equation
We construct the hyperbolic and trigonometric solutions to the star-star relation via the gauge/YBE correspondence by using the three-dimensional lens partition function and superconformal index for a certain $$\mathcal N=2$$ N = 2 supersymmetric gauge ...
Erdal Catak+2 more
doaj +1 more source
Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation
In this paper, our main purpose is to study the soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation. New soliton solutions have been obtained by the extended (G′/G)-expansion method, first integral method ...
Chun Huang, Zhao Li
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