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A Voronovskaya Type Theorem on Modified Post-Widder Operators Preserving x² [PDF]

Kyungpook mathematical journal, 2011
Mohammad Arif Siddiqui, Raksha Rani Agrawal   +1 more
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Approximation by a new sequence of operators involving Laguerre polynomials

This paper offers a newly created integral approach for operators employing the orthogonal modified Laguerre polynomials and P\u{a}lt\u{a}nea basis. These operators approximate the functions over the interval $[0,\infty)$.
Deo, Naokant, Kumar, Kapil, Verma, Durvesh Kumar   +2 more
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A Voronovskaya-type theorem in simultaneous approximation

Periodica Mathematica Hungarica, 2021
A general class of positive linear operators, called exponential type operators, is introduced and studied in [\textit{C. P. May}, Can. J. Math. 28, 1224--1250 (1976; Zbl 0342.41018)] and [\textit{M. E. H. Ismail} and \textit{C. P. May}, J. Math. Anal. Appl.
Adrian Holhos
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Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems

Journal of Applied Mathematics and Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim L. Braha, H. M. Srivastava, Mikail Et   +2 more
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Quantitative Voronovskaya and Grüss-Voronovskaya type theorems for Jain–Durrmeyer operators of blending type

Analysis and Mathematical Physics, 2018
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Kajla, Arun, Deshwal, Sheetal, Agrawal, P. N.   +2 more
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Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

Applied Mathematics and Computation, 2015
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Braha, Naim L., Loku, Valdete, Srivastava, H. M.   +2 more
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Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohiuddine, S. A., Alamri, Badriah A. S.
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A Voronovskaya-Type Theorem for the First Derivatives of Positive Linear Operators

Results in Mathematics, 2019
The author considers a family of positive linear operators which satisfy a differential equation similar to the one characterizing the exponential operators of C. P. May. Voronovskaya-type quantitative results for the derivatives of these operators are obtained. The last section is devoted to examples and applications involving modified Szász-Mirakyan,
Adrian Holhos
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q‐Voronovskaya type theorems for q‐Baskakov operators

Mathematical Methods in the Applied Sciences, 2015
In the present paper, we prove quantitative q‐Voronovskaya type theorems for q‐Baskakov operators in terms of weighted modulus of continuity. We also present a new form of Voronovskaya theorem, that is, q‐Grüss‐Voronovskaya type theorem for q‐Baskakov operators in quantitative mean.
Ulusoy, Gulsum, Acar, Tuncer
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Semi-discrete Quantitative Voronovskaya-Type Theorems for Positive Linear Operators

Results in Mathematics, 2020
Semidiscrete quantitative Voronovskaya type theorems are established using three particular cases of Lagrange-Hermite interpolation formula. Applications to Kantorovich operators and Bernstein operators are obtained.
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