q-Bernstein-Type Integral Operators

Ali Aral, Vijay Gupta and Ravi P. Agarwal
Additional contact information
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 4 in Applications of q-Calculus in Operator Theory, 2013, pp 113-144 from Springer

Abstract: Abstract In order to approximate integrable functions on the interval [0,1], Kantorovich gave modified Bernstein polynomials. Later in the year 1967 Durrmeyer [58] considered a more general integral modification of the classical Bernstein polynomials, which were studied first by Derriennic [47]. Also some other generalizations of the Bernstein polynomials are available in the literature. The other most popular generalization as considered by Goodman and Sharma [82], namely, genuine Bernstein–Durrmeyer operators.

Keywords: Genuine Bernstein Durrmeyer Operators; Classical Bernstein Polynomials; Dubois Prade; Ditzian-Totik Modulus; Fuzzy Real Number (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-6946-9_4

Ordering information: This item can be ordered from
http://www.springer.com/9781461469469

DOI: 10.1007/978-1-4614-6946-9_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().