Results 41 to 50 of about 533 (141)

Local and global results for modified Sz\'{a}sz - Mirakjan operators

, 2016
In this paper, we study a natural modification of Sz\'{a}sz - Mirakjan operators. It is shown by discussing many important established results for Sz\'{a}sz - Mirakjan operators.
null null, R.B. Gandhi, Vishnu Narayan Mishra   +2 more
core   +1 more source

Voronovskaja's theorem revisited

Journal of Mathematical Analysis and Applications, 2008
This paper considers Voronovskaja's theorem for Bernstein operator. The author describes the degree of the uniform convergence of the theorem and obtains a variant of Voronovskaja's theorem that improves some estimates obtained by Gonska, Pitual and Rasa.
openaire   +2 more sources

The approximation of bivariate functions by modified bivariate operators and GBS operators associated

Journal of Numerical Analysis and Approximation Theory, 2012
In this paper we demonstrate a Voronovskaja-type theorem and approximation theorem for a class of modified operators and Generalized Boolean Sum (GBS) associated operators obtained (see (3)) from given operators.
Ovidiu T. Pop
doaj   +2 more sources

A note on the Voronovskaja theorem for Mellin–Fejer convolution operators

Applied Mathematics Letters, 2011
The authors make use of a Taylor formula ``in terms of Mellin derivatives and notion of logarithmic'' moment and state a Voronovskaja approximation formula for a class of Mellin-Fejér type convolution operators. Applications to specific integral operators notably, the Mellin-Gauss-Weierstrass operator have also given.
BARDARO, Carlo, MANTELLINI, Ilaria
openaire   +4 more sources

Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators

Journal of Inequalities and Applications, 2016
This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang, Arif Rafiq, Ana-Maria Acu, Faisal Ali, Young Chel Kwun   +4 more
doaj   +1 more source

Approximation Properties of Parametric Kantorovich-Type Operators on Half-Bounded Intervals

Mathematics, 2023
The main purpose of this paper is to introduce a new family of parametric Kantorovichtype operators on the half-bounded interval. The convergence properties of these new operators are investigated.
Hui Dong, Qiulan Qi
doaj   +1 more source

Simultaneous approximation by neural network operators with applications to Voronovskaja formulas

Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.
Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
wiley   +1 more source

Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

Journal of Inequalities and Applications, 2016
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen, Shagufta Rahman, Abdullah Alotaibi   +2 more
doaj   +1 more source

Approximation by q-Szasz operators [PDF]

, 2010
his paper deals with approximating properties of the newly defined $q$-generalization of the Sz\'{a}sz operators in the case $q>1$. Quantitative estimates of the convergence in the polynomial weighted spaces and the Voronovskaja's theorem are given.
Mahmudov, Nazim I.
core  

A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian, Bahareh Nouri, Aram Azizi, Saeid Abbasbandy   +3 more
wiley   +1 more source