Tbilisi Mathematical Journal

Blending type approximation by Stancu-Kantorovich operators associated with the inverse Pólya-Eggenberger distribution

M. Mursaleen and A. A. H. Al-Abied

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Abstract

In this paper, we give some approximation properties by Stancu-Kantorovich operators based on inverse Pólya-Eggenberger distribution in the polynomial weighted space introduced in the literature and obtain convergence properties of these operators by using Korovkin's theorem. We discuss the direct result and Voronovskaja type asymptotic formula.

Article information

Source
Tbilisi Math. J., Volume 11, Issue 4 (2018), 79-91.

Dates
Received: 21 December 2018
Accepted: 28 June 2018
First available in Project Euclid: 4 January 2019

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1546570887

Digital Object Identifier
doi:10.32513/tbilisi/1546570887

Mathematical Reviews number (MathSciNet)
MR3954209

Subjects
Primary: 41A10: Approximation by polynomials {For approximation by trigonometric polynomials, see 42A10}
Secondary: 41A25: Rate of convergence, degree of approximation 41A36: Approximation by positive operators

Keywords
Pólya-Eggenberger distribution Stancu operators Euler functions weighted approximation rate of convergence

Citation

Mursaleen, M.; Al-Abied, A. A. H. Blending type approximation by Stancu-Kantorovich operators associated with the inverse Pólya-Eggenberger distribution. Tbilisi Math. J. 11 (2018), no. 4, 79--91. doi:10.32513/tbilisi/1546570887. https://projecteuclid.org/euclid.tbilisi/1546570887


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