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Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim Braha, Valdete Loku
exaly   +2 more sources

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 Braha   +2 more
exaly   +3 more sources

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.
Sorin Gal
exaly   +3 more sources

The Voronovskaya type theorem for Poisson integrals of functions of two variables [PDF]

open access: yesCommentationes 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.
Krech, Grażyna
openaire   +2 more sources

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, Fisicas Y Naturales - Serie A: Matematicas, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S A Mohiuddine
exaly   +3 more sources

Summation methods applied to Voronovskaya-type theorems for the partial sums of Fourier series and for Fejér operators

Mathematica Slovaca, 2016
Abstract We obtain Voronovskaya-type theorems for the partial sums of Fourier series using the second order Cesáro method of summation. Then we obtain two versions of Voronovskaya-type theorems for Fejér operators and finally we deduce an integral identity.
Radu Păltănea
exaly   +2 more sources

Quantitative Voronovskaya-Type Results for Polynomially Bounded Functions

open access: yesResults in Mathematics, 2016
We prove quantitative Voronovskaya-type results and Gruss-Voronovskaya inequalities for polynomially bounded functions. The results are given in terms of suitable K-functionals and applied to linking Szasz-Mirakyan and Baskakov ...
Heiner Gonska   +2 more
exaly   +2 more sources

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.
openaire   +2 more sources

A Voronovskaya Type Theorem for Bernstein-Durrmeyer Type Operators

British 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.
openaire   +1 more source

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,
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