A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials

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ÇEKİM B., AKTAŞ R., TAŞDELEN YEŞİLDAL F.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.53, sa.3, ss.727-735, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s13226-021-00167-9
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.727-735
  • Anahtar Kelimeler: Dunkl exponential, Hermite polynomial, Gamma function, Modulus of continuity, Peetre's K-functional, ZELLER OPERATORS, MEYER-KONIG, ANALOG
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

The goal of this paper is to present a Dunkl-Gamma type operator with the help of generalization of the two-variable Hermite polynomials and to derive its approximating properties via the classical modulus of continuity, second modulus of continuity and Peetre's K-functional.