A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration
Date
2011-10
Authors
Açıkgöz, Mehmet
Aracı, Serkan
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science
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.
Description
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
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.