Anzeige
Erschienen in:
2014 | OriginalPaper | Buchkapitel
Certain Szász-Mirakyan-Beta Operators
verfasst von : N. K. Govil, Vijay Gupta, Danyal Soybaş
Erschienen in: Topics in Mathematical Analysis and Applications
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
In the present article we discuss direct estimates of the Durrmeyer type modifications of the well-known Szász-Mirakyan operators. The present article is divided into two sections. In the first section, we mention some of the different integral modifications of the Szász-Mirakyan operators and mention their direct results which were done in ordinary, and specially in the simultaneous approximation.
In the second section for the Szász-Mirakyan-Beta operators, we find the alternate hypergeometric representation and propose their Stancu type generalization based on two parameters. We obtain the moments using confluent Hypergeometric functions. Also it is observed here that the moments are related to the Laguerre polynomials. We study direct approximation results for these Szász-Mirakyan-Beta-Stancu operators, which include a Voronovskaja-type asymptotic formula and error estimations in terms of modulus of continuity.