Year: 2025
Type: article
Abstract: The objective of this study is to examine a class of positive linear operators, defined in terms of the b ψ , k λ , μ {b}_{\psi ,k}^{\lambda ,\mu } basis and to analyze their approximation properties. Direct estimates for the ( λ , μ ) \left(\lambda ,\mu ) -Durrmeyer-Stancu-type operators are obtained using the first modulus of continuity and in a certain Lipschitz-type space. Approximation properties of these operators in Lebesgue spaces are also given. Finally, illustrative graphics are provided to support the results and to compare the rate of convergence.
Source: Demonstratio Mathematica
Authors: Qing-Bo Cai, Şule Yüksel Güngör, Bayram Çekim
Institutions: Quanzhou Normal University, Gazi University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4412780933