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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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Approximation properties of q-Kantorovich-Stancu operator [PDF]

, 2015
Ana Maria Acu, Arif Rafiq, Shin Min Kang, Young Chel Kwun   +3 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.
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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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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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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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Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems

Journal of Applied Mathematics and Computing, 2020
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Naim L. Braha, H. M. Srivastava, Mikail Et   +2 more
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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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Semi-discrete Voronovskaya-type theorem for positive linear operators based on Hermite interpolation with two double knots

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2023
Since the classical asymptotic theorems of Voronovskaya-type for positive and linear operators are in fact based on the Taylor’s formula which is a very particular case of Lagrange-Hermite interpolation formula, in the recent paper Gal [3], I have obtained semi-discrete quantitative Voronovskaya-type theorems based on other Lagrange-Hermite ...
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