Results 91 to 100 of about 156 (109)

Voronovskaya theorem for a sequence of positive linear operators related to squared Bernstein polynomials

Positivity, 2018
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Adrian Holhos, Holhos Adrian
exaly   +2 more sources

Generalized Voronovskaya theorem and the convergence of power series of positive linear operators

Journal of Mathematical Analysis and Applications
Voronovskaya's theorem provides an asymptotic error term for the Bernstein polynomials of functions that are twice differentiable. There is an extensive body of literature on Voronovskaya-type results for various operators. The aim of the present manuscript is to generalize Voronovskaya's theorem by providing an explicit form of the limit \(\lim_{n\to ...
Radu Păltănea
exaly   +2 more sources

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
openaire   +2 more sources

Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

Applied Mathematics and Computation, 2015
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Naim L. Braha, Valdete Loku, H. M. Srivastava 0001   +2 more
openaire   +1 more source

A Voronovskaya Theorem for Variation-Diminishing Spline Approximation

Canadian Journal of Mathematics, 1986
In [7] Schoenberg introduced the following variation-diminishing spline approximation methods.Let m > 1 be an integer and let Δ = {xi} be a biinfinite sequence of real numbers with xi ≧ xi + l < xi+m. To a function f associate the spline function Vf of order m with knots Δ defined by(1.1)whereand the Nj(x) are B-splines with support xj < x <
openaire   +1 more source

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.
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

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

Commentationes 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.
openaire   +1 more source

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.
Minea, Bucurel, Păltănea, Radu
openaire   +1 more source

A Voronovskaya type theorem associated to geometric series of Bernstein – Durrmeyer operators

Carpathian Journal of Mathematics
In this paper we give a Voronovskaya type theorem for the operators introduced by U. Abel, which are defined as the geometric series of Bernstein- Durrmeyer operators.
openaire   +1 more source