King type modification of Meyer-König and Zeller operators based on the q -integers

• Published in: Mathematical and computer modelling Vol. 50; no. 7; pp. 1245 - 1251
• Main Authors: DOGRU, Ogün, ÖRKCÜ, Mediha
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.10.2009; Elsevier
• Subjects: [formula omitted]-MKZ operators; Acceleration of convergence; Exact sciences and technology; Mathematical analysis; Mathematics; Methods of scientific computing (including symbolic computation, algebraic computation); MKZ operators; Modulus of continuity; Numerical analysis; Numerical analysis. Scientific computation; Sciences and techniques of general use; The Korovkin type approximation theorem; Modulus of continuity; q -MKZ operators; The Korovkin type approximation theorem; MKZ operators; Approximation; Error estimation; Convergence acceleration; Convergence; Integer; Numerical analysis; Scientific computation; Applied mathematics; q-MKZ operators; Convergence rate; Mathematical model; Computer aided analysis
• ISSN: 0895-7177; 1872-9479
• DOI: 10.1016/j.mcm.2009.07.003

In the present paper, introducing a King type modification of the Meyer-König and Zeller (MKZ) operators, we prove that the error estimation of these operators is better than the classical MKZ operators. Furthermore, a King type modification of the q -MKZ is also introduced and the rate of convergence of this modification is examined.