Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Faruk Özger"'
Publikováno v:
Alexandria Engineering Journal, Vol 107, Iss , Pp 205-214 (2024)
The primary objective of this work is to explore various approximation properties of Stancu variant generalized (λ,μ)-Bernstein operators. Various moment estimates are analyzed, and several aspects of local direct approximation theorems are investi
Externí odkaz:
https://doaj.org/article/bb8c7f25d14d446aa17c05b92bdedda5
Publikováno v:
Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 228-265 (2024)
ABSTRACTIn this study, we establish a new class of Kantorovich-Stancu type [Formula: see text]Bernstein operators via an adaptation of Bézier bases which are formulated with the inclusion of the shape parameters [Formula: see text], [Formula: see te
Externí odkaz:
https://doaj.org/article/345477bad6aa452eb5326e183f84c843
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 9, Iss , Pp 100631- (2024)
In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation. Here,
Externí odkaz:
https://doaj.org/article/27b3c1bbf6a94a929656f1625c39f7f0
Publikováno v:
Axioms, Vol 13, Iss 4, p 261 (2024)
Integral equations, which are defined as “the equation containing an unknown function under the integral sign”, have many applications of real-world problems. The second type of Fredholm integral equations is generally used in radiation transfer
Externí odkaz:
https://doaj.org/article/001df5de713e4909b1b9c58f2b86089f
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] $[0,1]$ as well as ρ > 0 $\rho >0$ and study some useful basic properties of the operators. We also obtain Grüss–Voronovskaja
Externí odkaz:
https://doaj.org/article/10858a90a1474d5abe411c73ea3aefa4
Publikováno v:
Mathematics, Vol 10, Iss 12, p 2027 (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 equation
Externí odkaz:
https://doaj.org/article/31a44215b3d04aabaf8f42f08d117ea5
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1149 (2022)
This paper is devoted to studying the statistical approximation properties of a sequence of univariate and bivariate blending-type Bernstein operators that includes shape parameters α and λ and a positive integer. An estimate of the corresponding r
Externí odkaz:
https://doaj.org/article/1193197fb7b74edda928caace4dd2837
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1895 (2021)
In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots. We use a statistical convergence type and power seri
Externí odkaz:
https://doaj.org/article/4955b2c187f94088ad698e38d93d6f5f
Publikováno v:
Symmetry, Vol 11, Iss 3, p 316 (2019)
We construct Stancu-type Bernstein operators based on Bézier bases with shape parameter λ ∈ [ - 1 , 1 ] and calculate their moments. The uniform convergence of the operator and global approximation result by means of Ditzian-Totik modulus of smoo
Externí odkaz:
https://doaj.org/article/a37c04bc11874ff8a83f845c746055ea
Publikováno v:
The Journal of Analysis. 31:1539-1555
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4008118415a4fc5b28bb134989bd7bde
https://doi.org/10.1007/s41478-022-00528-5
https://doi.org/10.1007/s41478-022-00528-5