q-Discrete Operators and Their Results

Ali Aral, Vijay Gupta and Ravi P. Agarwal
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Ali Aral: Kırıkkale University, Department of Mathematics
Vijay Gupta: Netaji Subhas Institute of Technology, School of Applied Sciences
Ravi P. Agarwal: Texas A&M University-Kingsville, Department of Mathematics

Chapter Chapter 2 in Applications of q-Calculus in Operator Theory, 2013, pp 15-72 from Springer

Abstract: Abstract This chapter deals with the q-analogue of some discrete operators of exponential type. We study some approximation properties of the q-Bernstein polynomials, q-Szász–Mirakyan operators, q-Baskakov operators, and q-Bleimann, Butzer, and Hahn operators. Here, we present moment estimation, convergence behavior, and shape-preserving properties of these discrete operators.

Keywords: Bernstein Polynomial; Divided Difference; Bernstein Operator; Baskakov Operator; Korovkin Theorem (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-6946-9_2

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DOI: 10.1007/978-1-4614-6946-9_2

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