Results 111 to 120 of about 659,087 (137)

General Voronovskaya and Asymptotic Theorems in Simultaneous Approximation

open access: closedMediterranean Journal of Mathematics, 2010
Here the authors prove general asymptotic and Voronovskaya theorems in simultaneous approximation. They generalize the Voronovskaya type result obtained recently by Floater for Bernstein operators and previously by Heilmann and Muller for the Durrmeyer operators.
Heiner Gonska, Radu Păltănea
exaly   +4 more sources

q‐Voronovskaya type theorems for q‐Baskakov operators

open access: closedMathematical Methods in the Applied Sciences, 2016
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.
Gülsüm Ulusoy, T. Acar
semanticscholar   +5 more sources

A Voronovskaya Type Theorem forBernstein-Durrmeyer Type Operators

open access: closedBritish Journal of Mathematics & Computer Science, 2015
Bernstein operators constitute a powerful tool allowing one to replace many inconvenient calculations performed for continuous functions by more friendly calculations on approximating polynomials. In this note we study a modification of Bernstein type operators and prove in particular that they satisfy Voronovskaya type theorems.
M. Lampa-Baczyńska
semanticscholar   +3 more sources

The Voronovskaya type theorem for Poisson integrals of functions of two variables

open access: closedCommentationes Mathematicae, 2013
The aim of this paper is the study the Voronovskaya type theorem for Poisson integrals of functions of two variables for Hermite and Laguerre expansions. We also present some boundary value problems related to these integrals.
G. Krech
semanticscholar   +3 more sources

The new forms of Voronovskaya’s theorem in weighted spaces

Positivity, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Acar, A. Aral, I. Raşa
semanticscholar   +5 more sources

Semi-discrete Quantitative Voronovskaya-Type Theorems for Positive Linear Operators

open access: closedResults 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.
Sorin G. Gal
openalex   +3 more sources

Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems

open access: closedRevista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2018
S. A. Mohiuddine, Badriah A. S. Alamri
semanticscholar   +4 more sources

Quantitative Voronovskaya and Grüss-Voronovskaya type theorems for Jain–Durrmeyer operators of blending type

open access: closedAnalysis and Mathematical Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arun Kajla   +2 more
openalex   +3 more sources

Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

open access: closedApplied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim L. Braha   +2 more
openalex   +2 more sources

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