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$$\alpha $$-Bernstein–Kantorovich operators

Afrika Matematika, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naokant Deo, Ram Pratap
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Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces

Numerical Functional Analysis and Optimization, 2023
In the present paper, convergence in modular spaces is investigated for a class of nonlinear discrete operators, namely the nonlinear multivariate sampling Kantorovich operators.
D. Costarelli   +2 more
semanticscholar   +1 more source

Some Approximation Results on a Class of Szász-Mirakjan-Kantorovich Operators Including Non-negative parameter α

Numerical Functional Analysis and Optimization
Alternative proofs of the Weierstrass uniform approximation theorem have been provided by numerous mathematicians, including renowned ones. Among them, there was Bernstein that used a set of polynomials known as the Bernstein polynomials.
Faruk Özger, R. Aslan, Merve Ersoy
semanticscholar   +1 more source

Max-Product Sampling Kantorovich Operators: Quantitative Estimates in Functional Spaces

Numerical Functional Analysis and Optimization, 2023
In this paper, we study the order of approximation for max-product sampling Kantorovich operators based upon generalized kernels in the setting of Orlicz spaces.
L. Boccali, D. Costarelli, G. Vinti
semanticscholar   +1 more source

q-Bernstein-Schurer-Kantorovich type operators

Bollettino dell'Unione Matematica Italiana, 2015
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Agrawal, P. N.   +2 more
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Approximation by Riemann–Liouville type fractional α$$ \alpha $$ ‐Bernstein–Kantorovich operators

Mathematical methods in the applied sciences
In this research paper, we construct a new sequence of Riemann–Liouville type fractional α$$ \alpha $$ ‐Bernstein–Kantorovich operators. We prove a Korovkin type approximation theorem and discuss the rate of convergence with the first order modulus of ...
Sahil Berwal   +3 more
semanticscholar   +1 more source

Parametric generalization of the modified Bernstein-Kantorovich operators

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023
In the current article, a parametrization of the modified Bernstein-Kantorovich operators is studied. Then the Korovkin theorem, approximation properties and central moments of these operators are investigated.
Kadir Kanat   +2 more
semanticscholar   +1 more source

Bivariate q-Bernstein-Schurer-Kantorovich Operators

Results in Mathematics, 2014
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Agrawal, P. N.   +2 more
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On a new kind of λ-Bernstein-Kantorovich operators for univariate and bivariate functions

Filomat
This paper presents a novel class of ?-Bernstein operators, wherein the parameter ? ? [-1, 1]. An approximation theorem of the Korovkin type is explored, a local approximation theorem is established and an asymptotic formula of the Voronovskaja type is ...
Qing-Bo Cai   +4 more
semanticscholar   +1 more source

Kantorovich Operators of Order k

Numerical Functional Analysis and Optimization, 2011
This article is concerned with the k-th order Kantorovich modification of the classical Bernstein operators B n , namely, , where D k f is the derivative of order k and I k f is an antiderivative of order k of the function f. These operators are most useful in simultaneous approximation.
Gonska, Heiner   +2 more
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