Results 41 to 50 of about 218 (81)

Dunkl Generalization of q-Parametric Szasz-Mirakjan Operators

International Journal of Analysis and Applications, 2017
In this paper, we construct q-parametric Szász-Mirakjan operators generated by the q-Dunkl generalization of the exponential function. We obtain Korovkin’s type approximation theorem and compute convergence of these operators by using the modulus of ...
M. Mursaleen, Md. Nasiruzzaman, A.A.H. Al-Abied   +2 more
doaj   +2 more sources

Approximation properties by shifted knots type of α-Bernstein–Kantorovich–Stancu operators

Journal of Inequalities and Applications
Through the real polynomials of the shifted knots, the α-Bernstein–Kantorovich operators are studied in their Stancu form, and the approximation properties are obtained.
Md. Nasiruzzaman, Mohammad Dilshad, Bader Mufadhi Eid Albalawi, Mohammad Rehan Ajmal   +3 more
doaj   +1 more source

Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine, Ding-Xuan Zhou   +3 more
wiley   +1 more source

Persistence barcodes and Laplace eigenfunctions on surfaces

, 2019
We obtain restrictions on the persistence barcodes of Laplace-Beltrami eigenfunctions and their linear combinations on compact surfaces with Riemannian metrics.
Polterovich, Iosif, Polterovich, Leonid, Stojisavljević, Vukašin   +2 more
core   +1 more source

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

Approximation Properties of Schurer-Stancu Type Polynomials [PDF]

, 2014
MSC 2010: 41A25 ...
Done, Yesim, Ibikli, Ertan, Sucu, Sezgin
core  

Approximation by q‐Post‐Widder Operators Based on a New Parameter

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
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

Better Approximation Properties by New Modified Baskakov Operators

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators.
Ahmed F. Jabbar, Amal K. Hassan, Mehmet Ünver   +2 more
wiley   +1 more source

Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
wiley   +1 more source