Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Qing-Bo Cai"'
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
Autor:
Guorong Zhou, Qing-Bo Cai
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 14405-14424 (2024)
This paper introduced a novel class of bivariate $ \lambda $-Bernstein operators defined on triangular domain, denoted as $ B_{m}^{\lambda_1, \lambda_2}(f; x, y) $. These operators leverage a new class of bivariate Bézier basis functions defined on
Externí odkaz:
https://doaj.org/article/f85e0eb84f7445f8ba93a99c8c1e66e9
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-6 (2024)
Abstract In this note, we study some approximation properties on a class of special Lototsky–Bernstein bases. We focus on approximation of | x | $|x|$ on [ − 1 , 1 ] $[-1,1]$ by an approximation process generated from fixed points on Lototsky–B
Externí odkaz:
https://doaj.org/article/9f760298326e4876985d4c7bd0872f01
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1276 (2024)
In this study, a new kind of modified λ-Bernstein-Stancu operators is constructed. Compared with the original λ-Bézier basis function, the newly operator basis function is more concise in form and has certain symmetry beauty. The moments and centr
Externí odkaz:
https://doaj.org/article/e8765e5e51064877a4cf0331ad6c1e26
Publikováno v:
Axioms, Vol 13, Iss 9, p 626 (2024)
In this paper, we introduce and rigorously define a novel class of difference sequence spaces, denoted by wI(M,∆vu,r)αβ, w0I(M,∆vu,r)αβ, w∞I(M,∆vu,r)αβ, and w∞(M,∆vu,r)αβ. These spaces are constructed through the application of th
Externí odkaz:
https://doaj.org/article/6f4cef7371334804bf46dfaf7a7c99d5
Publikováno v:
Axioms, Vol 13, Iss 7, p 485 (2024)
In this study, a different generalization of q-Bernstein operators with the parameter λ∈[−1,1] is created. The moments and central moments of these operators are calculated, a statistical approximation result for this new type of (λ,q)-Bernstei
Externí odkaz:
https://doaj.org/article/d2bd3be63d2c4187b3f02dfba02a0b8c
Autor:
Bo-Yong Lian, Qing-Bo Cai
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 21769-21780 (2023)
In this paper, a class of Stancu type Szász-Mirakjan operators are introduced. The approximation properties of the operators are discussed using tools of modulus of continuity, modulus of smoothness and K-functional. The estimation of the Lipschitz
Externí odkaz:
https://doaj.org/article/f31f4cd5cc7447148e00b41102812dee
Publikováno v:
AIMS Mathematics, Vol 7, Iss 12, Pp 20838-20849 (2022)
In this work, we investigate a new type of convergence known as relative statistical convergence through the use of the deferred Nörlund and deferred Riesz means. We demonstrate that the idea of deferred Nörlund and deferred Riesz statistically rel
Externí odkaz:
https://doaj.org/article/f80a0eb9136d428087b874b7b9f733d2
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 1831-1844 (2022)
This paper deals with the newly modification of Beta-type Bernstein operators, preserving constant and Korovkin's other test functions $ e_i = t^i $, $ i = 1, 2 $ in limit case. Then the uniform convergence of the constructed operators is given. The
Externí odkaz:
https://doaj.org/article/619ab590953d42969dd33b644657c8fc
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract The aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences u m $u_{m} $ and v m $v_{m}$ of functions. We prove that the new operators provide
Externí odkaz:
https://doaj.org/article/8ffff76bd22d47d5ba9561df3bb81815