Quantitative estimates for wavelet type extension of generalized Kantorovich operators
CONSTRUCTIVE MATHEMATICAL ANALYSIS, cilt.8, ss.39-48, 2025 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 8
- Basım Tarihi: 2025
- Doi Numarası: 10.33205/cma.1784422
- Dergi Adı: CONSTRUCTIVE MATHEMATICAL ANALYSIS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Central & Eastern European Academic Source (CEEAS), Directory of Open Access Journals, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.39-48
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, we consider a sequence of operators as a wavelet type extension of univariate generalized Kantorovich operators depending on a positive real parameter given in [F. Altomare, M. Cappelletti Montano, V. Leonessa and I. Ra,sa: A generalization of Kantorovich operators for convex compact subsets, Banach J. Math. Anal., 11 (3) (2017), 591-614]. We establish quantitative estimates for the rate of convergence of these operators in the continuous functions space and Lp-spaces in terms of modulus of continuity and K-functionals, respectively. Furthermore, variation preservation type property of the operators when the involved function is of bounded variation is provided.