Rate of convergence for the modified Szász-Mirakyan operators on functions of bounded variation
type: Item
instance of: scholarly article
title: Rate of convergence for the modified Szász-Mirakyan operators on functions of bounded variation
zbMATH Open document ID: 0931.41012
author: Vijay Gupta
author: R. P. Pant
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-10-06T00:00:00Z
review text: The modified Szász-Mirakyan operators are defined by \[ M_n(f,x)= n\sum^\infty_{k= 0} p_k(nx) \int^\infty_0 p_k(nt) f(t) dt, \] where \(p_k(s)= e^{-s} s^k/k!\). The authors obtain an estimate of the rate of convergence on functions of bounded variation. Their results improve and correct some estimates of \textit{A. Sahai} and \textit{G. Prasad} [Publ. Inst. Math., Nouv. Sér. 53, 73-80 (1993; Zbl 0795.41019)] and \textit{V. Gupta} and \textit{P. N. Agrawal} [ibid. 49(63), 97-103 (1991; Zbl 0738.41025)].
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 1295257
reviewed by: Ioan Raşa
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6289
OpenAlex ID: W2046029449
cites work: Q4097679
cites work: Q4183968
cites work: Q3981026
cites work: Q5748357
cites work: Q4296354
DOI: 10.1006/JMAA.1999.6289
description: scientific article; zbMATH DE number 1295257