QUANTITATIVE DUNKL ANALOGUE OF SZASZ-MIRAKYAN OPERATORS

Cai Q., YAZICI S., ÇEKİM B., İÇÖZ G.

JOURNAL OF MATHEMATICAL INEQUALITIES, cilt.15, sa.2, ss.861-878, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7153/jmi-2021-15-60
  • Dergi Adı: JOURNAL OF MATHEMATICAL INEQUALITIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.861-878
  • Gazi Üniversitesi Adresli: Evet

Özet

The main object of this paper is to introduce a sequence of quantitative Dunkl analogue Szasz-Mirakyan operators. Firstly, we have defined mentioned operators and have obtained test values and central moments for our operators. We have given weighted Korovkin theorem for these operators and then, have shed light on approximation properties of these operators with the help of the classical modulus of continuity, Peetre's K -functional, the second modulus of continuity, the modulus of weighted continuity defined by Holhos in [30] on some function space. Moreover, we have given Voronovskaya type theorems for our operators and basic operators defined by Sucu in [6]. Finally, graphics of these operators have been presented for some values of n.