Approximation via Statistical Convergence in the Sense of Power Series Method of Bögel-Type Continuous Functions

Author:

Demirci K.,Yıldız S.,Dirik F.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference35 articles.

1. F. Altomare and M. Campiti, Korovkin-Type Approximation Theory and its Applications, Vol. 17 of de Gruyter Stud. Math. (Walter de Gruyter, Berlin, 1994).

2. G. A. Anastassiou and S. G. Gal, Approximation Theory: Moduli of Continuity and Global Smoothness Preservation (Birkhäuser, Boston, 2000).

3. I. Badea, ‘‘Modulus of continuity in Bögel sense and some applications for approximation by a Bernstein-type operator,’’ Studia Univ. Babeş-Bolyai, Ser.: Math.-Mech. 18, 69–78 (1973).

4. C. Badea, I. Badea, and H. H. Gonska, ‘‘A test function and approximation by pseudopolynomials,’’ Bull. Austral. Math. Soc. 34, 53–64 (1986).

5. C. Badea, I. Badea, and C. Cottin, ‘‘A Korovkin-type theorem for generalizations of Boolean sum operators and approximation by trigonometric pseudopolynomials,’’ Anal. Numer. Theory Approx. 17, 7–17 (1988).

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