On a Chlodovsky variant of a multivariate beta operator

BAŞCANBAZ TUNCA G., Tuncer Y.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.235, sa.16, ss.4816-4824, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 235 Sayı: 16
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.cam.2010.10.049
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4816-4824
  • Anahtar Kelimeler: Multivariate beta operator, Modulus of smoothness, Chlodovsky operator, BERNSTEIN-CHLODOWSKY POLYNOMIALS, LIPSCHITZ CONTINUOUS FUNCTION, APPROXIMATION, CONSTANTS, CONVERGENCE
  • Ankara Üniversitesi Adresli: Evet

Özet

In this work, we state a Chlodovsky variant of a multivariate beta operator to be called hereafter the multivariate beta-Chlodovsky operator. We show that the multivariate beta-Chlodovsky operator can preserve properties of a general function of modulus of continuity and also the Lipschitz constant of a Lipschitz continuous function. Furthermore we set an H-omega (Delta) class by the function of modulus of continuity omega and give some results for functions belonging to H-omega (Delta). (C) 2010 Elsevier B.V. All rights reserved.