Abstract
The present paper deals mainly with a King type modification of \(( p,\,q) \)-Bernstein operators. By improving the conditions given in Mursaleen et al. (On (p, q)-analogue of Bernstein operators. Appl Math Comput 266:874–882, 2015a), we investigate the Korovkin type approximation of both \(( p,\,q) \)-Bernstein and King type \(( p,\,q) \)-Bernstein operators. We also prove that the error estimation of King type of the operator is better than that of the classical one whenever \(0\le x\le \frac{1}{3}.\)
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We would like to thank the referees for their suggestions that improved the presentation of the paper.
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Dalmanoğlu, Ö., Örkcü, M. Approximation Properties of King Type \((p,\,q)\)-Bernstein Operators. Iran J Sci Technol Trans Sci 43, 249–254 (2019). https://doi.org/10.1007/s40995-017-0434-3
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DOI: https://doi.org/10.1007/s40995-017-0434-3