Szász-Beta operators via Hermite Polynomial

Autor: Nadeem Rao, Avinash Kumar Yadav, M. Mursaleen, Brijesh Kumar Sinha, Nand Kishor Jha
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of King Saud University: Science, Vol 36, Iss 4, Pp 103120- (2024)
Druh dokumentu: article
ISSN: 1018-3647
DOI: 10.1016/j.jksus.2024.103120
Popis: The aim of present article is to introduce the Szász-Beta 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.
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