Work

Direct approximations of Szász-Beta-Schurer operators using Hermite polynomial

Year: 2024

Type: article

Abstract: The aim of present article is to introduce the Szász-Beta-Schurer operators in terms of Hermite Polynomial. We calculate some estimates and then discuss convergence theorems and order of approximation in terms of Korovkin theorem and first order modulus of smoothness respectively. Next, we study pointwise approximation results in terms of Peetre’s K-functional, second order modulus of smoothness, Lipschitz type space and rth order Lipschitz type maximal function. Lastly, weighted approximation results and statistical approximation theorems are proved.

Source: Annals of the University of Craiova Mathematics and Computer Science Series

DOI: 10.52846/ami.v51i2.1837

Authors: Srivastava Anshul, Yadav Avinash Kumar, Sinha Brijesh Kumar, Heshamuddine Md., Rao Nadeem

Institutions: Amity University, Galgotias College of Engineering & Technology, Rashtriya Raksha University, Glocal University, Chandigarh University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4406768443

FWCI: 0.343

Cites: 21

Cited by: 1

Related to: 10