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 …

[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] …

Lupaş post quantum Bernstein operators over arbitrary compact intervals

A Khan, M Iliyas, MS Mansoori… - Carpathian …, 2021 - journals.pnu.edu.ua
This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and
bounded interval constructed with the help of Lupaş post quantum Bernstein bases. Due to …

Approximation by λ-Bernstein type operators on triangular domain

QB Cai, A Khan, MS Mansoori, M Iliyas, K Khan - Filomat, 2023 - doiserbia.nb.rs
In this paper, a new type of λ-Bernstein operators (Bwm, λg)(w, z) and (Bzn λg)(w, z), their
Products Pmn, λg (w, z), Qnm, λg (w, z), and their Boolean sums Smn, λg (w, z), Tnm, λg (w …

[HTML][HTML] Some Statistical and Direct Approximation Properties for a New Form of the Generalization of q-Bernstein Operators with the Parameter λ

LT Su, E Kangal, ÜD Kantar, QB Cai - Axioms, 2024 - mdpi.com
In this study, a different generalization of q-Bernstein operators with the parameter λ∈[− 1, 1]
is created. The moments and central moments of these operators are calculated, a statistical …

On approximation properties of Stancu variant -Szász-Mirakjan-Durrmeyer operators

R Aslan, L Rathour - Korean Journal of Mathematics, 2022 - kkms.org
In the present paper, we aim to obtain several approximation properties of Stancu form
Sz\'{a} sz-Mirakjan-Durrmeyer operators based on B\'{e} zier basis functions with shape …

Approximation of conic sections by weighted Lupaş post-quantum Bézier curves

A Khan, M Iliyas, K Khan, M Mursaleen - Demonstratio Mathematica, 2022 - degruyter.com
This paper deals with weighted Lupaş post-quantum Bernstein blending functions and
Bézier curves constructed with the help of bases via (p, q)-integers. These blending …

[PDF][PDF] Approximation properties of Stancu type Szász-Mirakjan operators

BY Lian, QB Cai - AIMS Mathematics, 2023 - aimspress.com
In this paper, a class of Stancu type Szász-Mirakjan operators are introduced. The
approximation properties of the operators are discussed using tools of modulus of continuity …

Bernstein-type operators on elliptic domain and their interpolation properties

M Iliyas, A Khan, M Mursaleen - Demonstratio Mathematica, 2023 - degruyter.com
The aim of this article is to construct univariate Bernstein-type operators (ℬ mx G)(x, z) and
(ℬ nz G)(x, z), their products (P mn G)(x, z),(Q nm G)(x, z), and their Boolean sums (S mn …

Approximation by phillips type q-Bernstein operators on square and error bounds

A Khan, M Iliyas, M Arif, M Mursaleen, MR Lone - The Journal of Analysis, 2023 - Springer
In this paper Phillips type Bernstein operators (B k, qsf)(s, t),(B l, qtf)(s, t), their product and
Boolean sum based on q-integer have been introduced on square with one and two curved …