Approximation properties of univariate and bivariate new class -Bernstein–Kantorovich operators and its associated GBS operators

R Aslan - Computational and Applied Mathematics, 2023 - Springer
The main objective of this work is to derive some approximation properties of univariate and
bivariate Kantorovich type new class Bernstein operators by means of shape parameter λ∈ …

[PDF][PDF] Some approximation results on a class of new type λ-Bernstein polynomials

R Aslan, M Mursaleen - J. Math. Inequal, 2022 - files.ele-math.com
The main concern of this article is to acquire some approximation properties of a new class
of Bernstein polynomials based on Bézier basis functions with shape parameter λ∈[− 1, 1] …

[HTML][HTML] On One- and Two-Dimensional α–Stancu–Schurer–Kantorovich Operators and Their Approximation Properties

M Heshamuddin, N Rao, BP Lamichhane, A Kiliçman… - Mathematics, 2022 - mdpi.com
The goal of this research article is to introduce a sequence of α–Stancu–Schurer–
Kantorovich operators. We calculate moments and central moments and find the order of …

On a New Construction of Generalized q-Bernstein Polynomials Based on Shape Parameter λ

QB Cai, R Aslan - Symmetry, 2021 - mdpi.com
This paper deals with several approximation properties for a new class of q-Bernstein
polynomials based on new Bernstein basis functions with shape parameter λ on the …

Approximation Properties by Modified Baskakov–Durrmeyer Operators Based on Shape Parameter-

N Rao, M Nasiruzzaman, M Heshamuddin… - Iranian Journal of …, 2021 - Springer
In this research article, we construct a new sequence of Baskakov–Stancu–Durrmeyer
operators including the shape parameter α and study the uniform convergence of these …

[HTML][HTML] Bézier Curves and Surfaces with the Blending (α, λ, s)-Bernstein Basis

İ Karakılıç, S Karakılıç, G Budakçı, F Özger - Symmetry, 2025 - mdpi.com
This study presents a generalized approach to Bézier curves and surfaces by utilizing the
blending (α, λ, s)-Bernstein basis. The (α, λ, s)-Bernstein basis introduces shape parameters …

[PDF][PDF] Chlodowsky type (λ, q)-Bernstein-Stancu operators

M Mursaleen, AAH Al-Abied, MA Salman - Azerbaijan Journal of …, 2020 - azjm.org
In the present paper, we introduce Stancu-Chlodowsky type (λ, q)-Bernstein operators and
investigate their approximation properties. We obtain convergence properties of these …

On a Stancu form Szász-Mirakjan-Kantorovich operators based on shape parameter

R Aslan - Advanced Studies: Euro-Tbilisi Mathematical Journal, 2022 - projecteuclid.org
This paper deals with some approximation properties of Stancu-Kantorovich variant of
Sz\'{a} sz-Mirakjan operators based on B\'{e} zier basis functions with shape parameter …

Statistical approximation by -analogue of Bernstein-Stancu Operators

A Khan, V Sharma - arxiv preprint arxiv:1604.05339, 2016 - arxiv.org
In this paper, some approximation properties of $(p, q) $-analogue of Bernstein-Stancu
Operators has been studied. Rate of statistical convergence by means of modulus of …

Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space

S Bashir, D Ahmad - Plos one, 2024 - journals.plos.org
In this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier
surfaces in Minkowski space-E 1 3. These surfaces are commonly used in mathematical …