Results 51 to 60 of about 537 (141)

Asymptotic expansions for variants of the gamma and Post–Widder operators preserving 1 and xj

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13718-13733, December 2024.
Recently, the authors constructed operators acting on a space of functions defined on [0,∞)$$ \left[0,\infty \right) $$ and preserving 1 and xj$$ {x}^j $$ for a given j∈ℕ$$ j\in \mathrm{\mathbb{N}} $$. To this end, they considered suitable modifications of the Post–Widder and gamma operators.
Ulrich Abel, Ana Maria Acu, Margareta Heilmann, Ioan Rasa   +3 more
wiley   +1 more source

The Voronovskaja theorem for some linear positive operators defined by infinite sum [PDF]

Creative Mathematics and Informatics, 2011
The main goal of this paper is to establish a Voronovskaja type theorem for the Szasz-Mirakjan-Schurer operators. As a particular case, we get also the Voronovskaja type theorem for the well known Mirakjan-Favard-Szasz operators.
DAN MICLAUS, OVIDIU T. POP
openaire   +1 more source

Approximation by the modified λ-Bernstein-polynomial in terms of basis function

AIMS Mathematics
In this article by means of shifted knots properties, we introduce a new type of coupled Bernstein operators for Bézier basis functions. First, we construct the operators based on shifted knots properties of Bézier basis functions then investigate the ...
Mohammad Ayman-Mursaleen, Md. Nasiruzzaman , Nadeem Rao, Mohammad Dilshad , Kottakkaran Sooppy Nisar   +4 more
doaj   +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

The Lower Estimate for Bernstein Operator [PDF]

, 2013
MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Gal, Sorin G., Tachev, Gancho T.
core  

The Bernstein Voronovskaja-type theorem for positive linear approximation operators

Journal of Approximation Theory, 2015
The main result of the paper is a general Bernstein-Voronovskaja property: if \(\{ L_{n} \}_{n\geq 1},\) \(L_{n} : C[0,1] \to C[0,1],\) is a sequence of positive linear approximation operators, i.e., \(L_{n}(f;x) \to f(x)\) as \(n \to \infty\) for \(x \in [0,1],\) and \[ R(L_{n},f,q,x) := L_{n}(f;x) - \sum_{i=0}^{q} L_{n}((\cdot - x)^{i};x) \frac{f^{(i)
Ioan Gavrea, Mircea Ivan
openaire   +1 more source

Stancu type q-Bernstein operators with shifted knots

Journal of Inequalities and Applications, 2020
In the present paper, Stancu type generalizations of the q-analog of Lupaş Bernstein operators with shifted knots are introduced. Some approximation results and rate of convergence for these operators are investigated.
M. Mursaleen, Mohd Qasim, Asif Khan, Zaheer Abbas   +3 more
doaj   +1 more source

Parametric Extension of a Certain Family of Summation-Integral Type Operators

Cumhuriyet Science Journal, 2023
In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these
İsmet Yüksel, Nadire Fulda Odabaşı
doaj   +1 more source

Generalized p,q-Gamma-type operators

Journal of Function Spaces, 2020
In the present paper, the generalized p,q-gamma-type operators based on p,q-calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of ...
Wen-Tao Cheng, Qing-Bo Cai
doaj   +1 more source

A summation-integral type modification of Szasz-Mirakjan-Stancu operators

Journal of Numerical Analysis and Approximation Theory, 2016
In this paper we introduce a summation-integral type modification of Szasz-Mirakjan-Stancu operators. Calculation of moments, density theorem, a direct result and a Voronovskaja-type result are obtained for the operators.
Vishnu Narayan Mishra, Rajiv B. Gandhi, Ram N. Mohapatra   +2 more
doaj   +2 more sources