Ontology type: schema:ScholarlyArticle Open Access: True
2017-05-23
AUTHORSManjari Sidharth, PN Agrawal, Serkan Araci
ABSTRACTThe present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012). We establish the moments of the operator and a Voronvskaja type asymptotic theorem and then proceed to studying the convergence of the operators with the help of Lipschitz type space and weighted modulus of continuity. Next, we obtain a direct approximation theorem with the aid of unified Ditzian-Totik modulus of smoothness. Furthermore, we study the approximation of functions whose derivatives are locally of bounded variation. More... »
PAGES122
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DOIhttp://dx.doi.org/10.1186/s13660-017-1396-x
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PUBMEDhttps://www.ncbi.nlm.nih.gov/pubmed/28603401
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