Results 61 to 70 of about 3,011 (212)
The Truncated q-Bernstein Polynomials in the Case q>1
Abstract and Applied Analysis, 2014 The truncated q-Bernstein polynomials Bn,m,qf;x, n∈ℕ, and m∈ℕ0 emerge naturally when the q-Bernstein polynomials of functions vanishing in some neighbourhood of 0 are considered.
Mehmet Turan
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Ain Shams Engineering Journal, 2018 In this paper, we use Bernstein polynomials to seek the numerical solution of a class of nonlinear variable order fractional differential equation. The fractional derivative is described in the Caputo sense.
Yi-ming Chen +3 more
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Detecting Relevant Deviations From the White Noise Assumption for Non‐Stationary Time Series
Journal of Time Series Analysis, EarlyView.ABSTRACT We consider the problem of detecting deviations from a white noise assumption in time series. Our approach differs from the numerous methods proposed for this purpose with respect to two aspects. First, we allow for non‐stationary time series. Second, we address the problem that a white noise test is usually not performed because one believes ...
Patrick Bastian
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FilomatIn this current study, we introduce a new operator called the P-Bernstein operator derived through the utilization of ?P-factorial? (Pell factorial) and ?Pellnomial? (Pell binomial). Subsequently, we investigate the fundamental properties of the P-Bernstein basis polynomials.
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Variation Convergence for Bernstein Polynomials [PDF]
Proceedings of the American Mathematical Society, 1968 Abstract not ...
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Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models
Journal of Time Series Analysis, EarlyView.ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
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Bayesian Inference for Multivariate Monotone Densities
Scandinavian Journal of Statistics, EarlyView.ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
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Linearizations of matrix polynomials in Bernstein bases
, 2016 We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenvalue problems. Using Möbius transformations of matrix polynomials, large new families of strong linearizations are generated.
Mackey, D. Steven +3 more
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Boundary Value Problems, 2011 A new formula expressing explicitly the derivatives of Bernstein polynomials of any degree and for any order in terms of Bernstein polynomials themselves is proved, and a formula expressing the Bernstein coefficients of the general-order derivative of a
Bhrawy AH, Saker MA, Doha EH
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Early Intervention in Psychiatry, Volume 20, Issue 7, July 2026.ABSTRACT Aims Negative symptoms are a core component of schizophrenia, affecting up to 60% of individuals with the disorder. They are categorised into primary negative symptoms (PNS), which are intrinsic to the illness, and secondary negative symptoms, which arise from external factors such as depression or medication side effects.
Dulari Hakamuwa Lekamlage +31 more
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