Moment estimations of new Szász–Mirakyan–Durrmeyer operators

Vijay Gupta and G.C. Greubel

Applied Mathematics and Computation, 2015, vol. 271, issue C, 540-547

Abstract: Jain (1972) introduced the modified form of the Szász–Mirakjan operator, based on certain parameter 0 ≤ β < 1. Several modifications of the operators proposed and are available in the literature. Here we consider actual Durrmeyer variants of the operators due to Jain. It is observed here that the Durrmeyer variant have nice properties and one need not to take any restriction on β in order to obtain convergence. We establish moments using the Tricomi’s confluent hypergeometric function and Stirling numbers of first kind, and also estimate some direct results.

Keywords: Szász–Mirakjan operator; Confluent hypergeometric function; Stirling numbers; Direct results; Modulus of continuity (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315012734
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:540-547

DOI: 10.1016/j.amc.2015.09.037

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().