Açıkgöz, MehmetAracı, Serkan2022-03-292022-03-292011-10Açıkgöz, 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), 707-712.0096-30031873-5649https://doi.org/10.1016/j.amc.2011.01.091https://www.sciencedirect.com/science/article/pii/S0096300311001263http://hdl.handle.net/11452/25409In 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.eninfo:eu-repo/semantics/closedAccessMathematicsGenerating functionBernstein polynomials of several variablesBernstein operator of several variablesShift difference operatorQ-difference operatorq-Stirling numbersq-Volkenborn integrationHermite polynomialsCarlitz's type q-Bernoulli numbersNumber theoryBernstein polynomialCarlitz's type q-Bernoulli numbersDifference operatorsGenerating functionsHermite polynomialsQ-difference operatorQ-stirling numbersq-Volkenborn integrationSeveral variablesPolynomialsArticle0002942984000142-s2.0-800522680557077122183Mathematics, appliedEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integral