Introduction of q-Calculus

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 1 in Applications of q-Calculus in Operator Theory, 2013, pp 1-13 from Springer

Abstract: Abstract In the field of approximation theory, the applications of q-calculus are new area in last 25 years. The first q-analogue of the well-known Bernstein polynomials was introduced by Lupas in the year 1987. In 1997 Phillips considered another q-analogue of the classical Bernstein polynomials.

Keywords: Well-known Bernstein Polynomials; Jackson Integral; Picard Operator; Weierstrass Operator; Hahn Operators (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_1

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DOI: 10.1007/978-1-4614-6946-9_1

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