Results 11 to 20 of about 37,288 (305)

A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function [PDF]

Abstract and Applied Analysis, 2010
The main object of this paper is to construct a new generating function of the (q-) Bernstein-type polynomials. We establish elementary properties of this function. By using this generating function, we derive recurrence relation and derivative of the (q-
Yilmaz Simsek, Mehmet Acikgoz
doaj   +2 more sources

ON THE GENERATING FUNCTION FOR BERNSTEIN POLYNOMIALS OF TRIPLE SEQUENCES [PDF]

Journal of Science and Arts, 2021
The aim of this paper is to give main properties of the generating function of the Bernstein polynomials of triple sequence spaces. It was proved the recurrence relations and derivative formula for Bernstein polynomials of triple sequences. Further more, some new results are obtained by using this generating function of these polynomials.
Indumathi, Arulmani, Esi, Ayhan, Subramanian, Nagarajan   +2 more
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Approximations of Generalized Bernstein Functions [PDF]

Constructive Approximation
Abstract We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related function, namely
Koumandos, Stamatis, Pedersen, Henrik Laurberg   +1 more
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On the composite Bernstein type quadrature formula [PDF]

Journal of Numerical Analysis and Approximation Theory, 2010
Considering a given function \(f\in C[0,1]\), the interval \([0,1]\) is divided in \(m\) equally spaced subintervals \(\left[\tfrac{k-1}{m},\tfrac{k}{m}\right]\), \(k=\overline{1,m}\).
Dan Bărbosu, Dan Miclăuş
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Discordance Between Patient and Physician Global Assessments in Early Systemic Sclerosis. [PDF]

Arthritis Care Res (Hoboken)
Objective This study aims to identify factors associated with patient global assessment (PtGA) and physician global assessment (PhGA) and discordance between them in systemic sclerosis (SSc). Methods Data from adults with early SSc (<5 years) from the Collaborative National Quality and Efficacy Registry were included.
Romich E, Ogdie A, Stephens Shields A, Merkel PA, Assassi S, Bernstein EJ, Bujor A, Castelino FV, Chung L, Evnin LB, Frech TM, Gordon JK, Griffith M, Hant FN, Harding ML, Hummers LK, Khanna D, Lakin KS, Lebiedz-Odrobina DJ, Luo Y, Makol A, Mayes MD, McMahan ZH, Molitor J, Moore DF, Paik J, Richardson C, Skaug B, Shah AA, Shah A, Steen V, VanBuren JM, Volkmann ER, Zahn C, Sandorfi N, CONQUER Investigators.   +35 more
europepmc   +2 more sources

Quantum Bernstein fractal functions

Computational and Mathematical Methods, 2020
In this article, taking the quantum Bernstein functions as base functions, we have proposed the class of quantum Bernstein fractal functions. When (Formula presented.) the base function is taken as the classical q-Bernstein polynomials, we propose the class of quantum fractal functions through a multivalued quantum fractal operator.
N. Vijender, A. K. B. Chand, M. A. Navascués, María Victoria Sebastián   +3 more
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Bernstein-gamma functions and exponential functionals of Lévy processes [PDF]

Electronic Journal of Probability, 2018
We study the equation $M_Ψ(z+1)=\frac{-z}{Ψ(-z)}M_Ψ(z), M_Ψ(1)=1$ defined on a subset of the imaginary line and where $Ψ$ is a negative definite functions. Using the Wiener-Hopf method we solve this equation in a two terms product which consists of functions that extend the classical gamma function.
Patie, Pierre, Savov, Mladen
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Consistency of Approximation of Bernstein Polynomial-Based Direct Methods for Optimal Control

Machines, 2022
Bernstein polynomial approximation of continuous function has a slower rate of convergence compared to other approximation methods. “The fact seems to have precluded any numerical application of Bernstein polynomials from having been made.
Venanzio Cichella, Isaac Kaminer, Claire Walton, Naira Hovakimyan, António Pascoal   +4 more
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The combinatorics of Bernstein functions [PDF]

Transactions of the American Mathematical Society, 2000
A construction of Bernstein associates to each cocharacter of a split p p -adic group an element in the center of the ...
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Rate of Weighted Statistical Convergence for Generalized Blending-Type Bernstein-Kantorovich Operators

Mathematics, 2022
An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger, Ekrem Aljimi, Merve Temizer Ersoy   +2 more
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