Results 21 to 30 of about 825,348 (149)

Approximation by a new Stancu variant of generalized (λ,μ)-Bernstein operators

Alexandria Engineering Journal
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 investigated.
Qing-Bo Cai, Reşat Aslan, Faruk Özger, Hari Mohan Srivastava   +3 more
doaj   +2 more sources

Approximation properties of λ-Kantorovich operators. [PDF]

J Inequal Appl, 2018
In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1] $\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.
Acu AM, Manav N, Sofonea DF.
europepmc   +2 more sources

Chlodowsky type $\left( \lambda,q\right)$-Bernstein Stancu operators of Pascal rough triple sequences [PDF]

Journal of Mahani Mathematical Research, 2023
The fundamental concept of statistical convergence first was put forward by Steinhaus and at the same time but also  by Fast \cite{Fast} independently both for complex and real sequences. In fact, the convergence in terms of statistical     manner can be
Ayhan Esi, Subramanian Nagarajan, Kemal Ozdemir   +2 more
doaj   +1 more source

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
doaj   +1 more source

Statistical Blending-Type Approximation by a Class of Operators That Includes Shape Parameters λ and α

Mathematics, 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.
Qing-Bo Cai, Khursheed J. Ansari, Merve Temizer Ersoy, Faruk Özger   +3 more
doaj   +1 more source

Convergence of λ-Bernstein operators based on (p, q)-integers

Journal of Inequalities and Applications, 2020
In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional ...
Qing-Bo Cai, Wen-Tao Cheng
doaj   +1 more source

Note on a New Construction of Kantorovich Form q-Bernstein Operators Related to Shape Parameter λ

, 2022
The main purpose of this paper is to introduce some approximation properties of a Kantorovich kind q-Bernstein operators related to Bézier basis functions with shape parameter λ ∈ [−1, 1].
Aslan, Reşat, Cai, Qingbo
core   +1 more source

Generalized Weighted Statistical Convergence for Double Sequences of Fuzzy Numbers and Associated Korovkin-Type Approximation Theorem

Journal of Function Spaces, 2020
We define the notions of weighted λ,μ-statistical convergence of order γ1,γ2 and strongly weighted λ,μ-summability of γ1,γ2 for fuzzy double sequences, where ...
Abdullah Alotaibi
doaj   +1 more source

A NUMERICAL COMPARATIVE STUDY OF GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS

, 2021
In this paper, a new generalization of the Bernstein-Kantorovich type operators involving multiple shape parameters is introduced. Certain Voronovskaja and Gru spacing diaeresis ss-Voronovskaya type approximation results, statistical convergence and ...
Kadak, Ugur, ÖZGER, FARUK
core   +1 more source

A-Statistical Convergence Properties of Kantorovich Type λ-Bernstein Operators Via (p, q)-Calculus

Mathematics, 2020
In the present paper, Kantorovich type λ -Bernstein operators via (p, q)-calculus are constructed, and the first and second moments and central moments of these operators are estimated in order to achieve our main results.
Liang Zeng, Qing-Bo Cai, Xiao-Wei Xu
doaj   +1 more source