Kantrovich Type Generalization of Meyer-Konig and Zeller Operators via Generating Functions

OLGUN A., İNCE İLARSLAN H. G. , Tasdelen F.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.21, ss.209-221, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21 Konu: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2478/auom-2013-0053
  • Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Sayfa Sayıları: ss.209-221

Özet

In the present paper, we study a Kantorovich type generalization of Meyer-Konig and Zeller type operators via generating functions. Using Korovkin type theorem we first give approximation properties of these operators defined on the space C [0, Lambda], 0 < Lambda < 1. Secondly, we compute the rate of convergence of these operators by means of the modulus of continuity and the elements of the modified Lipschitz class. Finally, we give an r-th order generalization of these operators in the sense of Kirov and Popova and we obtain approximation properties of them.