Approximation by nonlinear integral operators via summability process
MATHEMATISCHE NACHRICHTEN, cilt.293, sa.3, ss.430-448, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 293 Sayı: 3
- Basım Tarihi: 2020
- Doi Numarası: 10.1002/mana.201800187
- Dergi Adı: MATHEMATISCHE NACHRICHTEN
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, MathSciNet, zbMATH, DIALNET
- Sayfa Sayıları: ss.430-448
- Anahtar Kelimeler: convolution type integral operators, nonlinear integral operators, summability process, CONVERGENCE, ACCELERATION, SEQUENCES
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper, we study the approximation properties of nonlinear integral operators of convolution-type by using summability process. In the approximation, we investigate the convergence with respect to both the variation semi-norm and the classical supremum norm. We also compute the rate of approximation on some appropriate function classes. At the end of the paper, we construct a specific sequence of nonlinear operators, which verifies the summability process. Some graphical illustrations and numerical computations are also provided.