q-Summation–Integral Operators

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 5 in Applications of q-Calculus in Operator Theory, 2013, pp 145-194 from Springer

Abstract: Abstract Aral and Gupta [32], proposed a q-analogue of the Baskakov operators and investigated its approximation properties. In continuation of their work they introduced Durrmeyer-type modification of q-Baskakov operators. These operators, opposed to Bernstein–Durrmeyer operators, are defined to approximate a function f on $$\left [0,\ \infty \right )$$ . The Durrmeyer-type modification of the q-Bernstein operators was first introduced in [48].

Keywords: Bernstein-Durrmeyer Operators; Durrmeyer-type Modification; Baskakov Operators; Approximation Properties; Local Approximation Theorem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-6946-9_5

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