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Note on \(q\)-Nasybullin's lemma associated with the modified \(p\)-adic \(q\)-Euler measure - MaRDI portal

Note on \(q\)-Nasybullin's lemma associated with the modified \(p\)-adic \(q\)-Euler measure (Q978429)

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scientific article; zbMATH DE number 5725731
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Note on \(q\)-Nasybullin's lemma associated with the modified \(p\)-adic \(q\)-Euler measure
scientific article; zbMATH DE number 5725731

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    Note on \(q\)-Nasybullin's lemma associated with the modified \(p\)-adic \(q\)-Euler measure (English)
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    24 June 2010
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    Recently, \textit{N. K. Govil} and \textit{V. Gupta} [Adv. Stud. Contemp. Math., Kyungshang 19, No. 1, 97--108 (2009; Zbl 1182.41011)] have introduced a new type of \(q\)-integrated Meyer-König-Zeller-Durrmeyer (\(q\)-MKZD) operators, obtained moments for these operators, and estimated the convergence of these integrated \(q\)-MKZD operators. In this paper, the authors consider the \(q\)-extension which is in a direction different from that of Govil and Gupta. In Section 2, they derive the modified \(p\)-adic \(q\)-measures related to \(q\)-Nasybullin's type lemma.
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