1. Açık Erişim@BUU
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Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/25409
Title: A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration
Authors: Açıkgöz, Mehmet
Aracı, Serkan
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.
0000-0002-0700-5774
0000-0002-0700-5774
Cangül, İsmail Naci
J-3505-2017
ABA-6206-2020
57189022403
Keywords: Mathematics
Generating function
Bernstein polynomials of several variables
Bernstein operator of several variables
Shift difference operator
Q-difference operator
q-Stirling numbers
q-Volkenborn integration
Hermite polynomials
Carlitz's type q-Bernoulli numbers
Number theory
Bernstein polynomial
Carlitz's type q-Bernoulli numbers
Difference operators
Generating functions
Hermite polynomials
Q-difference operator
Q-stirling numbers
q-Volkenborn integration
Several variables
Polynomials
Issue Date: Oct-2011
Publisher: Elsevier Science
Citation: Açıkgöz, M. vd.(2011). "A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration". Applied Mathematics and Computation, 218(3), 707-712.
Abstract: In this paper, we consider the modified q-Bernstein polynomials for functions of several variables on q-Volkenborn integral and investigate some new interesting properties of these polynomials related to q-Stirling numbers, Hermite polynomials and Carlitz's type q-Bernoulli numbers.
URI: https://doi.org/10.1016/j.amc.2011.01.091
https://www.sciencedirect.com/science/article/pii/S0096300311001263
http://hdl.handle.net/11452/25409
ISSN: 0096-3003
1873-5649
Appears in Collections:Scopus
Web of Science

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