Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Adrian Holhoş"'
Autor:
Adrian Holhoş
Publikováno v:
Mathematics, Vol 10, Iss 10, p 1650 (2022)
In this paper, we generalize a sequence of positive linear operators introduced by Ismail and May and we study some of their approximation properties for different classes of continuous functions. First, we estimate the error of approximation in term
Externí odkaz:
https://doaj.org/article/e965e09856a24912b54fb6999457e905
Autor:
Adrian Holhoş
Publikováno v:
Mathematics, Vol 9, Iss 14, p 1588 (2021)
We present three new approximation properties of the Balázs–Szabados operators. Firstly, we prove that, in certain cases, these operators approximate some super-exponential functions on compact intervals. Next, we provide a new estimate of the err
Externí odkaz:
https://doaj.org/article/c5b80fabfa6749338e1262c32596e62c
Autor:
Adrian Holhoş, Daniela Roşca
Publikováno v:
Mathematics, Vol 8, Iss 6, p 994 (2020)
We construct a new volume preserving map from the unit ball B 3 to the regular 3D octahedron, both centered at the origin, and its inverse. This map will help us to construct refinable grids of the 3D ball, consisting in diameter bounded cells having
Externí odkaz:
https://doaj.org/article/9219be9ca84347e8a463ced9904cd265
Autor:
Adrian Holhoş
Publikováno v:
Periodica Mathematica Hungarica. 85:280-291
Autor:
Vijay Gupta, Adrian Holhoş
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 44:2567-2576
The present paper deals with a generalization of the Baskakov type operators, which preserve an exponential function and approximate functions with arbitrary order. We give some direct results including error estimation and quantitative asymptotic fo
Autor:
Adrian Holhoş
Publikováno v:
Studia Universitatis Babes-Bolyai Matematica. 65:279-290
In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the squared Szasz-Mirakyan basis and prove that these operators behave better than the classical Szasz-Mirakyan operators.
Autor:
Adrian Holhoş
Publikováno v:
Volume: 3, Issue: 2 64-74
Constructive Mathematical Analysis
Constructive Mathematical Analysis
In this paper we estimate the speed of convergence of the difference $L_n(fg)-(L_n f)\cdot (L_n g)$ towards 0, where $(L_n)$ are positive linear operators used in the approximation of continuous functions. We also study in what conditions the formula
Autor:
Adrian Holhoş
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 56:94-102
In this paper we study the uniform approximation of functions by a generalization of the Picard and Gauss-Weierstrass operators of max-product type in exponential weighted spaces. We estimate the rate of approximation in terms of a suitable modulus o
Autor:
Adrian Holhoş
Publikováno v:
Carpathian Journal of Mathematics. 35:51-58
In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the powered Baskakov basis. We prove that in the particular case of squared Baskakov basis the operators behave better than the classi
Autor:
Adrian Holhoş
Publikováno v:
Positivity. 23:571-580
In this paper we obtain the Voronovskaya formula for the sequence of positive linear operators constructed using the squared Bernstein polynomials.