Results 61 to 70 of about 1,000,066 (146)

Approximation by ψ‐Baskakov‐Kantorovich Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.
ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source

A limit theorem on the core [PDF]

, 1976
Trockel W. A limit theorem on the core. Journal of Mathematical Economics.
Walter Trockel, Trockel, Walter ; https://orcid.org/   +1 more
core   +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

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

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

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

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 type theorem for a general class of Szász-Mirakjan operators

, 2013
. The paper is devoted to defining a new general class of linear and positive operators depending on a certain function ' . This new class of linear and positive operators generalizes the Sz´asz-Mirakjan operators.
O. Pop, D. Miclǎuş, Dan Bǎrbosu
semanticscholar   +1 more source

Voronovskaja type results for the Aldaz-Kounchev-Render versions of generalized Baskakov operators

Applicable Analysis and Discrete Mathematics
The modification of Bernstein operators given by Aldaz, Kounchev and Render has been intensively studied in the recent years. In this paper we define a corresponding modification for the general class of Baskakov-type operators.
A. Acu, M. Heilmann, Io Ras, A. Şteopoaie   +3 more
semanticscholar   +1 more source

About Some Linear Operators

International Journal of Mathematics and Mathematical Sciences, 2007
Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a
Ovidiu T. Pop
doaj   +1 more source