Simultaneous Approximation for Stancu-Type Generalization of Certain Summation–Integral-Type Operators

N. K. Govil () and Vijay Gupta ()
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N. K. Govil: Auburn University, Department of Mathematics and Statistics
Vijay Gupta: Netaji Subhas Institute of Technology, Department of Mathematics

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 531-548 from Springer

Abstract: Abstract Srivastava and Gupta (Math. and Comput. Model. 37:1307–1315, 2003) introduced a general sequence of summation–integral-type operators, which in the literature have sometimes been termed as Srivastava–Gupta operators. In this paper we consider Stancu-type generalization of these operators and obtain moments of these operators by method of hypergeometric series. Also, for these operators we derive the asymptotic formula and error estimation in simultaneous approximation.

Keywords: Stancu Type Generalization; Simultaneous Estimation; Hypergeometric Series; Well-known Bernstein Polynomials; Beta Basis Function (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_19

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DOI: 10.1007/978-1-4939-0258-3_19

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