Results 11 to 20 of about 3,222 (145)
On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators [PDF]
Journal of Function Spaces, 2020 In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type.
Edmond Aliaga, Behar Baxhaku
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Some Statistical and Direct Approximation Properties for a New Form of the Generalization of q-Bernstein Operators with the Parameter λ [PDF]
AxiomsIn 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)-Bernstein ...
Lian-Ta Su +3 more
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Approximation by a new Stancu variant of generalized (λ,μ)-Bernstein operators [PDF]
Alexandria Engineering JournalThe 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 +3 more
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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 +2 more
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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 +2 more
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Note on a New Construction of Kantorovich Form q-Bernstein Operators Related to Shape Parameter λ [PDF]
, 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
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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 +3 more
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Bernstein-type operators on the unit disk [PDF]
, 2023 We construct and study sequences of linear operators of Bernstein-type acting on bivariate functions defined on the unit disk. To this end, we study Bernstein-type operators under a domain transformation, we analyze the bivariate Bernstein–Stancu ...
Pérez, Teresa E. +2 more
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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
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A NUMERICAL COMPARATIVE STUDY OF GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS [PDF]
, 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
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