Approximation of Continuous Periodic Functions of Two Variables via Power Series Methods of Summability

Yavuz E., Talo Ö.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.42, sa.4, ss.1709-1717, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s40840-017-0577-6
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1709-1717
  • Anahtar Kelimeler: Positive linear operators, Korovkin theorem, Power series methods, Double Fourier series
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

We prove a Korovkin-type approximation theorem via power series methods of summability for continuous 2 π-periodic functions of two variables and verify the convergence of approximating double sequences of positive linear operators by using modulus of continuity. An example concerning double Fourier series is also constructed to illustrate the obtained results.