Order of approximation by an operator involving biorthogonal polynomials

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Oksuzer O., KARSLI H., TAŞDELEN YEŞİLDAL F.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2015, ss.1-13, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2015
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1186/s13660-015-0650-3
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-13
  • Anahtar Kelimeler: Konhauser polynomials, order of convergence, functions of bounded variation, Lebesgue-Stieltjes integration, BERNSTEIN POWER-SERIES, BOUNDED VARIATION, LAGUERRE-POLYNOMIALS, MEYER-KONIG, CONVERGENCE, RATES
  • Ankara Üniversitesi Adresli: Evet

Özet

The goal of this paper is to estimate the rate of convergence of a linear positive operator involving Konhauser polynomials to bounded variation functions on [0, 1]. To prove our main result, we have used some methods and techniques of probability theory.