Approximation by the -Szász-Mirakjan Operators | Zendy

Nazım I. Mahmudov | Zendy

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Approximation by the -Szász-Mirakjan Operators

Author(s) -

Nazım I. Mahmudov

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/754217

Subject(s) - mathematics , generalization , order (exchange) , rate of convergence , convergence (economics) , polynomial , spectral theorem , linear operators , baskakov operator , discrete mathematics , pure mathematics , operator theory , fourier integral operator , mathematical analysis , microlocal analysis , finance , economic growth , economics , channel (broadcasting) , electrical engineering , bounded function , engineering

This paper deals with approximating properties of the q-generalization of the Szász-Mirakjan operators in the case . Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the q-Szász-Mirakjan operators () is of order versus 1/n for the classical Szász-Mirakjan operators

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