Work

Symmetric Properties of λ-Szász Operators Coupled with Generalized Beta Functions and Approximation Theory

Year: 2024

Type: article

Abstract: This research work focuses on λ-Szász–Mirakjan operators coupling generalized beta function. The kernel functions used in λ-Szász operators often possess even or odd symmetry. This symmetry influences the behavior of the operator in terms of approximation and convergence properties. The convergence properties, such as uniform convergence and pointwise convergence, are studied in view of the Korovkin theorem, the modulus of continuity, and Peetre’s K-functional of these sequences of positive linear operators in depth. Further, we extend our research work for the bivariate case of these sequences of operators. Their uniform rate of approximation and order of approximation are investigated in Lebesgue measurable spaces of function. The graphical representation and numerical error analysis in terms of the convergence behavior of these operators are studied.

Source: Symmetry

DOI: 10.3390/sym16121703

Authors: Nadeem Rao, Mohammad Farid, Mohd Raiz

Institutions: Chandigarh University, Qassim University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: Qassim University