Work

Approximation in quantum calculus of the Phillips operators by using the sequences of q-Appell polynomials

Year: 2024

Type: article

Abstract: In this paper, we attempt to use the Dunkl analog to study the convergence properties of q-Phillips operators by using the q-Appell polynomials. By applying the new sequences of continuous functions $\nu _{s,q}(z)=\Bigl(z- \frac{1}{2[s]_{q}}\Bigr)_{\varrho}$ on $[0, \infty )$ , we construct an improved version of the q-Phillips operators. We calculate the qualitative outcomes in weighted Korovkin spaces to better understand the Phillips operators’ uniform convergence results. We obtain the approximation properties by use of the modulus of continuity and functions belonging to the Lipschitz class. Moreover, we give some direct theorems for the function belonging to Peetre’s K-functional.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-024-03215-0

Authors: Md. Nasiruzzaman, Mohammad Dilshad, S. A. Mohiuddine, Bader Mufadhi Eid Albalawi, Mohammad Rehan Ajmal

Institutions: University of Tabuk, King Abdulaziz 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: $1,990

OpenAlex ID: W4403761701

FWCI: 0.686

Cites: 23

Cited by: 2

Related to: 10