Results 11 to 20 of about 53,940 (208)
Refining trigonometric inequalities by using Padé approximant [PDF]
Journal of Inequalities and Applications, 2018 A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality. Simple proofs are provided.
Zhen Zhang, Huaqing Shan, Ligeng Chen
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Accelerating convergence of trigonometric approximations [PDF]
Mathematics of Computation, 1970 Lanczos has recently developed a method for accelerating the convergence of trigonometric approximations for smooth, nonperiodic functions by modifying their boundary behavior. The method is reformulated here in terms of interpolation theory and is shown to be related to the theory of Lidstone interpolation.
Jones, William B., Hardy, G.
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Nonlinear Approximation by Trigonometric Sums [PDF]
Journal of Fourier Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DeVore, R.A., Temlyakov, V.N.
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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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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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Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise [PDF]
, 2015 A fully discrete approximation of the semi-linear stochastic wave equation driven by multiplicative noise is presented. A standard linear finite element approximation is used in space and a stochastic trigonometric method for the temporal approximation ...
Anton, Rikard +3 more
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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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Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces [PDF]
, 2010 In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS).
Ostrovsky, E., Sirota, L.
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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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Quantum integrable multi atom matter-radiation models with and without rotating wave approximation [PDF]
, 2004 New integrable multi-atom matter-radiation models with and without rotating wave approximation (RWA) are constructed and exactly solved through algebraic Bethe ansatz.
A. Kundu +25 more
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