Results 41 to 50 of about 218 (81)

Approximation Properties of Schurer-Stancu Type Polynomials [PDF]

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

ψ‐Bernstein–Kantorovich operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1124-1141, 15 January 2025.
In this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function ψα$$ {\psi}_{\alpha } $$ and investigate their approximation properties. By choosing an appropriate function ψα$$ {\psi}_{\alpha } $$, the order of approximation of our operators to a function f$$ f $$ is at least as good as the ...
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
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

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

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

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 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

Moments of Real, Respectively of Complex Valued Functions, Approximation and Applications

Mathematics
The first aim of this study is to point out new aspects of approximation theory applied to a few classes of holomorphic functions via Vitali’s theorem.
Cristian Octav Olteanu
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