Direct estimates for certain Szász type operators

Vijay Gupta and Themistocles M. Rassias

Applied Mathematics and Computation, 2015, vol. 251, issue C, 469-474

Abstract: The present paper deals with the modified forms of the Szász basis functions. We propose a Durrmeyer type operator having the basis functions in summation and integration due to Jain (1972) and Paˇltaˇnea (2008). We establish some direct results, which include the asymptotic formula and error estimation in terms of the modulus of continuity and weighted approximation. In the end, we give an open problem for the readers.

Keywords: Exponential type operators; Pochhammer symbol; Szász–Mirakyan operators; Hybrid operators; Direct estimates; Modulus of continuity (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:469-474

DOI: 10.1016/j.amc.2014.11.078

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