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Approximation by complex summation-integral type operator in compact disks

In: Mathematica Slovaca, vol. 63, no. 5
Vijay Gupta - Rani Yadav
Detaily:
Rok, strany: 2013, 1025 - 1036
Kľúčové slová:
complex Durrmeyer-type operators, uniform convergence, analytic function, Voronovskaja-type result
O článku:
In the present paper we estimate a Voronovskaja type quantitative estimate for a certain type of complex Durrmeyer polynomials, which is different from those studied previously in the literature. Such estimation is in terms of analytic functions in the compact disks. In this way, we present the evidence of overconvergence phenomenon for this type of Durrmeyer polynomials, namely the extensions of approximation properties (with quantitative estimates) from real intervals to compact disks in the complex plane. In the end, we mention certain applications.
Ako citovať:
ISO 690:
Gupta, V., Yadav, R. 2013. Approximation by complex summation-integral type operator in compact disks. In Mathematica Slovaca, vol. 63, no.5, pp. 1025-1036. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0152-z

APA:
Gupta, V., Yadav, R. (2013). Approximation by complex summation-integral type operator in compact disks. Mathematica Slovaca, 63(5), 1025-1036. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0152-z
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