Results 11 to 20 of about 194,210 (329)
On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals. Due to the limited perception range of devices, the perception range of
G.A. Yessenbayeva +2 more
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On Better Approximation of the Squared Bernstein Polynomials [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2022 The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
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On the approximation of bounded functions by trigonometric polynomials in Hausdorff metric [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The article discusses a method for constructing a spline function to obtain estimates that are exact in order to approximate bounded functions by trigonometric polynomials in the Hausdorff metric.
Sadekova, Ekaterina H.
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Piecewise Monotone Approximation of Unbounded Functions In Weighted Space LP,w([-,]) [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2022 In this paper, investigate the approximation of unbounded functions in weighted space, by using trigonometric polynomials considered. We introduced type of polynomials piecewise monotone having same local monotonicity as unbounded functions without ...
Alaa Adnan, Sultan Mehiady
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On polynomial approximations to AC [PDF]
Random Structures & Algorithms, 2018 AbstractClassicalapproximation results show that anycircuit of sizeand depthhas an‐error probabilistic polynomial over the reals of degree. We improve this upper bound to, which is much better for small values of. We then use this result to show that‐wise independence foolscircuits of sizeand depthup to error at most, improving on Tal's strengthening ...
Prahladh Harsha +1 more
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Certain approximation properties of Brenke polynomials using Jakimovski–Leviatan operators
Journal of Inequalities and Applications, 2021 In this article, we establish the approximation by Durrmeyer type Jakimovski–Leviatan operators involving the Brenke type polynomials. The positive linear operators are constructed for the Brenke polynomials, and thus approximation properties for these ...
Shahid Ahmad Wani +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
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Uniform approximation by polynomials with integer coefficients [PDF]
Opuscula Mathematica, 2016 Let \(r\), \(n\) be positive integers with \(n\ge 6r\). Let \(P\) be a polynomial of degree at most \(n\) on \([0,1]\) with real coefficients, such that \(P^{(k)}(0)/k!\) and \(P^{(k)}(1)/k!\) are integers for \(k=0,\dots,r-1\).
Artur Lipnicki
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Photonics, 2022 This article addresses two issues. Firstly, it was shown that if the initial phase of a Gaussian beam is specified by the sum of Zernike polynomials or by a screen simulating atmospheric turbulence, in the process of propagation, singular points appear ...
Feodor Kanev +2 more
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An optimal polynomial approximation of Brownian motion [PDF]
, 2020 In this paper, we will present a strong (or pathwise) approximation of standard Brownian motion by a class of orthogonal polynomials. The coefficients that are obtained from the expansion of Brownian motion in this polynomial basis are independent ...
Foster, James +2 more
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