Results 61 to 70 of about 911 (185)
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
doaj
Convergence of Generalized Bernstein Polynomials
Journal of Approximation Theory, 2002 Let \(f\in C[0,1]\), \(q\in (0,1)\) and \(B_n(f,q;x)\) be generalized Bernstein polynomials based on \(q\)-integers. These polynomials were introduced by G. M. Phillips in 1997. The authors study convergence properties of the sequence \(\{B_n(f,q;x)\}^\infty_{n=1}\).
Il'inskii, Alexander, Ostrovska, Sofiya
openaire +2 more sources
Personality and Mental Health, Volume 20, Issue 1, February 2026.ABSTRACT Adverse childhood experiences (ACEs) are a well‐established risk factor for a wide range of mental health conditions, including personality disorder (PD). Yet, few studies have explored the relationship between ACEs and dimensional models of PD using the ICD‐11 framework.
Rachael C. Martin, Martin Sellbom
wiley +1 more source
Abstract and Applied Analysis, 2011 The purpose of this paper is to give some properties of several 𝑞-Bernstein-type polynomials to express the 𝑞-integral on [0, 1] in terms of 𝑞-beta and 𝑞-gamma functions.
Taekyun Kim
doaj +1 more source
Pharmaceutical Statistics, Volume 25, Issue 1, January/February 2026.ABSTRACT Bayesian predictive probabilities of success (PPoS) use interim trial data to calculate the probability of trial success. These quantities can be used to optimise trial size or to stop for futility. In this paper, we describe a simulation‐based approach to compute the PPoS for clinical trials with competing event data, for which no specific ...
Chiara Micoli +5 more
wiley +1 more source
Module structure of Weyl algebras
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
On the stability of vacuum in the screened Vlasov–Poisson equation
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We study the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation on Rd×Rd$\mathbb {R}^d\times \mathbb {R}^d$ near vacuum. We show that for dimensions d⩾2$d\geqslant 2$, under mild assumptions on localization (in terms of spatial moments) and regularity (in terms of at most three Sobolev derivatives) solutions ...
Mikaela Iacobelli +2 more
wiley +1 more source
Quantum (q, h)-Bézier surfaces based on bivariate (q, h)-blossoming
Demonstratio Mathematica, 2019 We introduce the (q, h)-blossom of bivariate polynomials, and we define the bivariate (q, h)-Bernstein polynomials and (q, h)-Bézier surfaces on rectangular domains using the tensor product.
Jegdić Ilija +2 more
doaj +1 more source
A numerical study for off-centered stagnation flow towards a rotating disc
Propulsion and Power Research, 2015 In this investigation, a semi-numerical method based on Bernstein polynomials for solving off-centered stagnation flow towards a rotating disc is introduced.
M. Heydari +3 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami +4 more
wiley +1 more source