Work

A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials

Year: 2024

Type: article

Abstract: This research work introduces a connection of adjoint Bernoulli’s polynomials and a gamma function as a sequence of linear positive operators. Further, the convergence properties of these sequences of operators are investigated in various functional spaces with the aid of the Korovkin theorem, Voronovskaja-type theorem, first order of modulus of continuity, second order of modulus of continuity, Peetre’s K-functional, Lipschitz condition, etc. In the last section, we extend our research to a bivariate case of these sequences of operators, and their uniform rate of approximation and order of approximation are investigated in different functional spaces. Moreover, we construct a numerical example to demonstrate the applicability of our results.

Source: Mathematics

DOI: 10.3390/math12233645

Authors: Nadeem Rao, Mohammad Farid, Rehan Ali

Institutions: Chandigarh University, Qassim University, Central University of Kashmir

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Qassim University