dc.contributor.author | Aral A. | |
dc.contributor.author | Gupta V. | |
dc.date.accessioned | 2020-06-25T15:14:49Z | |
dc.date.available | 2020-06-25T15:14:49Z | |
dc.date.issued | 2011 | |
dc.identifier.issn | 19950802 | |
dc.identifier.uri | https://doi.org/10.1134/S1995080211010033 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12587/2204 | |
dc.description.abstract | In this paper, we introduce and study a new sequence of positive linear operators acting on the spaces of continuous function on positive semi-axis. These operators are defined by means of the q-integral, which generalize the Szász Durrmeyer operators. We study their approximation property by presenting a direct approximation theorem on polynomial weighted spaces and the rate of convergence by means of weighted modulus of continuity. Also, we establish an asymptotic formula with respect to weighted norm. © 2011 Pleiades Publishing, Ltd. | en_US |
dc.language.iso | eng | en_US |
dc.relation.isversionof | 10.1134/S1995080211010033 | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | modulus of continuity | en_US |
dc.subject | q-Gamma function | en_US |
dc.subject | q-integers | en_US |
dc.subject | q-Szász-Durrmeyer operators | en_US |
dc.title | Generalized Szász Durrmeyer operators | en_US |
dc.type | article | en_US |
dc.contributor.department | Kırıkkale Üniversitesi | en_US |
dc.identifier.volume | 32 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 23 | en_US |
dc.identifier.endpage | 31 | en_US |
dc.relation.journal | Lobachevskii Journal of Mathematics | en_US |
dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |