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A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration |
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| Authors: | Mehmet Aç?kgöz |
| Institution: | a University of Gaziantep, Faculty of Arts and Science, Department of Mathematics, 27310 Gaziantep, Turkey b Uludag University, Faculty of Science, Department of Mathematics, Görükle, 16059 Bursa, Turkey |
| 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. |
| Keywords: | 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&rsquo s type q-Bernoulli numbers |
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