Results 21 to 30 of about 593,387 (249)
On King type modification of $(p,q)$-Lupaş Bernstein operators with improved estimates
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper aims to modify the $(p,q)$-Lupaş Bernstein operators using King's technique and to establish convergence results of these operators by using of modulus of continuity and Lipschitz class functions.
K.S. Nisar, V. Sharma, A. Khan
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Some Probabilistic Generalizations of the Cheney–Sharma and Bernstein Approximation Operators
Axioms, 2022 The objective of this paper is to give some probabilistic derivations of the Cheney, Sharma, and Bernstein approximation operators. Motivated by these probabilistic derivations, generalizations of the Cheney, Sharma, and Bernstein operators are defined ...
Seng Huat Ong +3 more
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Better Uniform Approximation by New Bivariate Bernstein Operators
International Journal of Analysis and Applications, 2022 In this paper we introduce new bivariate Bernstein type operators BnM,i(f; x, y), i = 1, 2, 3. The rates of approximation by these operators are calculated and it is shown that the errors are significantly smaller than those of ordinary bivariate ...
Asha Ram Gairola +4 more
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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
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Bernstein-type operators on the unit disk
, 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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King type modification of $q$-Bernstein-Schurer operators [PDF]
, 2011 summary:Very recently the $q$-Bernstein-Schurer operators which reproduce only constant function were introduced and studied by C. V. Muraru (2011). Inspired by J. P. King, Positive linear operators which preserve $x^{2}$ (2003), in this paper we modify $
Ren, Mei-Ying +3 more
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Modified Operators Interpolating at Endpoints
Mathematics, 2021 Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu +2 more
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Bernstein-Durrmeyer type operators [PDF]
, 2003 RésuméWe study here a new kind of modified Bernstein polynomial operators on L1(0, 1) introduced by J. L. Durrmeyer in [4]. We define for f integrable on [0, 1] the modified Bernstein polynomial Mn f: Mnf(x) = (n + 1) ∑nk = oPnk(x)∝10 Pnk(t) f(t) dt.
Heiner Gonska +5 more
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Bernstein–Jacobi-type operators preserving derivatives [PDF]
, 2014 A general frame for Bernstein-type operators that preserve derivatives is given. We introduce Bernstein-type operators based in the weighted classical Jacobi inner product on the interval [0, 1] that extend the well known Bernstein–Durrmeyer operator ...
Lara Velasco, David +1 more
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On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators
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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