Results 11 to 20 of about 601,209 (237)
Mapana Journal of Sciences, 2021 Bernstein polynomials (aka, B-polys) have excellent properties allowing them to be used as basis functions in many applications of physics. In this paper, a brief tutorial description of their properties is given and then their use in obtaining B-polys ...
Anandaram Mandyam N
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Normalized Bernstein polynomials in solving space-time fractional diffusion equation
Advances in Difference Equations, 2017 In this paper, we solve a time-space fractional diffusion equation. Our methods are based on normalized Bernstein polynomials. For the space domain, we use a set of normalized Bernstein polynomials and for the time domain, which is a semi-infinite domain,
A Baseri, E Babolian, S Abbasbandy
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Multistage Bernstein polynomials for the solutions of the Fractional Order Stiff Systems
Journal of King Saud University - Science, 2016 In this paper, a new modification of the Bernstein polynomials method called Multistage Bernstein polynomials (MB-polynomials) is applied to solve new topic, which is Fractional Order Stiff Systems.
Ishak Hashim
exaly +2 more sources
Frequency Stability-Constrained Unit Commitment: Tight Approximation Using Bernstein Polynomials [PDF]
IEEE Transactions on Power Systems, 2022 As we replace conventional synchronous generators with renewable energy, the frequency security of power systems is at higher risk. This calls for a more careful consideration of unit commitment (UC) and primary frequency response (PFR) reserves.
Bo Zhou, Ruiwei Jiang, Siqian Shen
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Shape-constrained estimation in functional regression with Bernstein polynomials [PDF]
Computational Statistics & Data Analysis, 2022 Shape restrictions on functional regression coefficients such as non-negativity, monotonicity, convexity or concavity are often available in the form of a prior knowledge or required to maintain a structural consistency in functional regression models. A
Rahul Ghosal +4 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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Some approximation results on a class of new type λ-Bernstein polynomials
Journal of Mathematical Inequalities, 2022 . The main concern of this article is to acquire some approximation properties of a new class of Bernstein polynomials based on B´ezier basis functions with shape parameter λ ∈ [ − 1 , 1 ] .
R. Aslan, M. Mursaleen
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Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian +2 more
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On a New Construction of Generalized q-Bernstein Polynomials Based on Shape Parameter λ
Symmetry, 2021 This paper deals with several approximation properties for a new class of q-Bernstein polynomials based on new Bernstein basis functions with shape parameter λ on the symmetric interval [−1,1]. Firstly, we computed some moments and central moments. Then,
Qingbo Cai, R. Aslan
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Ain Shams Engineering Journal, 2021 The regularized and the modified regularized long wave (RLW and MRLW) equations are solved numerically by the Bernstein polynomials in both the space and time directions based on Kronecker product.
D.A. Hammad
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