Results 11 to 20 of about 2,352 (209)
Open Mathematics, 2021 Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
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On approximation by Blackman- and Rogosinski-type operators in Banach space; pp. 205–219 [PDF]
Proceedings of the Estonian Academy of Sciences, 2016 In this paper we introduce the Blackman- and Rogosinski-type approximation processes in an abstract Banach space setting. Historical roots of these processes go back to W. W. Rogosinski in 1926.
Andi Kivinukk, Anna Saksa
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Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)
Al-Mustansiriyah Journal of Science, 2021 In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted
Mohammed Hamad Fayyadh, Alaa Adnan Auad
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Approximation in trigonometric Lipschitz spaces
, 2021 The approximation by generalized trigonometric polynomials for Lipschitz defined functions in certain groups depends on some properties of the group defined metric. Metrics which allow this approximation are called Lipschitz compatible. In this work we give for certain class of groups, conditions under which Lipschitz compatible metrics are boundedly ...
Bernabé Loranca, María Beatriz +3 more
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Studying Some Stochastic Differential Equations with trigonometric terms with Application
Zanco Journal of Pure and Applied Sciences, 2022 In this paper we look at several (trigonometric) stochastic differential equations, we find the general form for such nonlinear stochastic differential equation by using the I'to formula.
Abdulghafoor Jasim Salim , Ali A. Asmael
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Nonperiodic Trigonometric Polynomial Approximation [PDF]
Journal of Scientific Computing, 2013 The suitable basis functions for approximating periodic function are periodic, trigonometric functions. When the function is not periodic, a viable alternative is to consider polynomials as basis functions. In this paper we will point out the inadequacy of polynomial approximation and suggest to switch from powers of $x$ to powers of $\sin(px)$ where ...
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Approximation of classes of Poisson integrals by Fejer means
Математичні Студії, 2023 The paper is devoted to the investigation of problem of approximation of continuous periodic functions by trigonometric polynomials, which are generated by linear methods of summation of Fourier series.
O. Rovenska
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Trigonometric Induced Multivariate Smooth Gauss–Weierstrass Singular Integrals Approximation
Mathematics, 2023 In this article, we employ the uniform and Lp, 1 ...
George A. Anastassiou
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Boundedness of approximate trigonometric functions
Applied Mathematics Letters, 2009 \textit{J. A. Baker} [Proc. Am. Math. Soc. 80, 411--416 (1980; Zbl 0448.39003)] and \textit{W. P. Cholewa} [Proc. Am. Math. Soc. 88, 631--634 (1983; Zbl 0547.39003)] investigated the stability of the cosine functional equation and sine functional equation, respectively. In this paper the authors consider the following functional inequality \[ |f(x+y)-f(
Gwang Hui Kim, Young Whan Lee
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Ansatz and Averaging Methods for Modeling the (Un)Conserved Complex Duffing Oscillators
Mathematics, 2023 In this study, both the ansatz and averaging methods are carried out for analyzing the complex Duffing oscillators including the undamped/conserved complex Duffing oscillator (CDO) and the damped/unconserved CDO to obtain some approximate analytical ...
Weaam Alhejaili +2 more
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