Strong summation process in locally integrable function spaces

Bayram, Nilay

doi:10.15672/hjms.20164513102

Strong summation process in locally integrable function spaces

Bayram N. A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, sa.3, ss.683-694, 2016 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 45 Sayı: 3
Basım Tarihi: 2016
Doi Numarası: 10.15672/hjms.20164513102
Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.683-694
Anahtar Kelimeler: A-summability, positive linear operators, locally integrable functions, Korovkin type theorem, modulus of continuity, rate of convergence, KOROVKIN-TYPE, CONVERGENCE
Ankara Üniversitesi Adresli: Evet

Özet

In this paper, using the concept of strong summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p,L-q (loc) into itself. We also study modulus of continuity for L-p,L-q (loc) approximation and give the rate of convergence of these operators.