Approximation by truncated Lupaş operators of max-product kind

Örkcü, MEDİHA; Dalmanoğlu, Özge; Hatipoğlu, Fatma

doi:10.31801/cfsuasmas.898098

Approximation by truncated Lupaş operators of max-product kind

Örkcü M., Dalmanoğlu Ö., Hatipoğlu F. B.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, cilt.70, sa.2, ss.924-939, 2021 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 70 Sayı: 2
Basım Tarihi: 2021
Doi Numarası: 10.31801/cfsuasmas.898098
Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.924-939
Gazi Üniversitesi Adresli: Evet

Özet

The goals of the present paper are to introduce truncated Lupaş type operators of max-product kind and give an estimation for the degree of approximation with respect to first modulus of continuity function. We prove that this estimate can not be improved; on the other hand, for some subclasses of functions, better degree of approximation is obtained. We also showed the piecewise convexity of the constructed operators on the interval [0,1].