Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators

In the present paper, the Kantorovich modification of the Schurer type of (λ,q)-Bernstein operators, which are associated by the shape parameter −1≤λ≤1 and the Bézier basis function, is presented. Using Korovkin’s theorem, we establish several local and global approximation properties. Lastly, we calculate the convergence properties for the functions that belong to Peetre’s K-functional and Lipschitz maximum by using the classical modulus of continuity and second-order modulus of continuity. In the last section, graphical and numerical analysis are studied.

Authors

Institutions

Publication Details

Journal
Mathematics
Published
2026-02-12
DOI
https://doi.org/10.3390/math14040644
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators

Nadeem Alam Rao, Harun ÇİÇEK, Md. Nasiruzzaman, Mohammad Farid
Mathematics
Approximation Theory and Sequence Spaces
article

Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators

Nadeem Alam Rao, Harun ÇİÇEK, Md. Nasiruzzaman, Mohammad Farid
article en

Abstract

In the present paper, the Kantorovich modification of the Schurer type of (λ,q)-Bernstein operators, which are associated by the shape parameter −1≤λ≤1 and the Bézier basis function, is presented. Using Korovkin’s theorem, we establish several local and global approximation properties. Lastly, we calculate the convergence properties for the functions that belong to Peetre’s K-functional and Lipschitz maximum by using the classical modulus of continuity and second-order modulus of continuity. In the last section, graphical and numerical analysis are studied.

MathematicsVol. 14(4)
Chandigarh University (IN), Qassim University (SA), Bitlis Eren University (TR), University of Tabuk (SA)
Qassim University
Openalex Percentile: Top 59%
Approximation Theory and Sequence Spaces
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators — Nadeem Alam Rao, Harun ÇİÇEK, et al. · Mathematics (2026) | TGRS Research Map | TGRS