On the eigenstructure of the (alpha, q)-Bernstein operator

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Koroglu B., TAŞDELEN YEŞİLDAL F.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.4, ss.1111-1122, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15672/hujms.779544
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1111-1122
  • Anahtar Kelimeler: calculus, (alpha, q)-Bernstein polynomials, eigenvalues, eigenvectors, BERNSTEIN POLYNOMIALS
  • Ankara Üniversitesi Adresli: Evet

Özet

The eigenvalues and eigenvectors of (alpha, q)-Bernstein operators are unknown and not studied in the literature. As the main result of this article, the eigenvalues and eigenvectors of (alpha, q)-Bernstein operators are obtained. Moreover, we will give the asymptotic behaviour of these eigenvalues and eigenvectors for all q > 0. Some eigenvectors for various values of alpha and q are depicted.