A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration

AÇIKGÖZ M., Araci S., CANGÜL İ. N.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.707-712, 2011 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.01.091
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.707-712
  • Anahtar Kelimeler: 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
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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. (C) 2011 Elsevier Inc. All rights reserved.