2015
DOI: 10.1007/s40574-015-0038-9
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On (p, q)-generalization of Szász-Mirakyan Kantorovich operators

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Cited by 10 publications
(5 citation statements)
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“…In [4], Mursaleen et al proposed a Kantorovich variant of the ðp, q Þ-analogue of Szász-Mirakjan operators under the nondecreasing condition. In [5], Sharma and Gupta introduced ðp , qÞ-Szász-Mirakjan-Kantorovich operators and studied their approximation properties. In [6], Acar et al constructed King's type ðp, qÞ-Szász-Mirakjan operators preserving x 2 and discussed the order of approximation and weighted approximation properties of these operators.…”
Section: Introductionmentioning
confidence: 99%
“…In [4], Mursaleen et al proposed a Kantorovich variant of the ðp, q Þ-analogue of Szász-Mirakjan operators under the nondecreasing condition. In [5], Sharma and Gupta introduced ðp , qÞ-Szász-Mirakjan-Kantorovich operators and studied their approximation properties. In [6], Acar et al constructed King's type ðp, qÞ-Szász-Mirakjan operators preserving x 2 and discussed the order of approximation and weighted approximation properties of these operators.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, Acar gave a recurrence relation for the moments of these operators. In the same year, H. Sharma and C. Gupta [41] introduced the generalization of the (p, q)-Szász-Mirakjan Kantorovich operators and examined their approximation properties. In 2017, Mursaleen, AAH Al-Abied, and Alotaibi [42] constructed new Szász-Mirakjan operators based on (p, q)-calculus and studied weighted approximation and a Voronovskaya-type theorem.…”
Section: Introductionmentioning
confidence: 99%
“…The application of (p; q)-calculus to well known operators magnetizes great attention of researchers. We can refer some of the recent papers as [1], [2], [6], [8], [10], [11], [14], [18] and [19]. Let us brie ‡y mention some notations and de…nitions of (p; q)-calculus.…”
Section: Introductionmentioning
confidence: 99%