Statistical approximation properties of q-Baskakov-Kantorovich operators

Vijay Gupta; Cristina Radu

Displaying similar documents to “Statistical approximation properties of q-Baskakov-Kantorovich operators”

Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers

Nazim Mahmudov (2010)

Open Mathematics

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In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct estimations for error in the case 0 < q < 1.

$q$ -parametric Bleimann Butzer and Hahn operators.

Mahmudov, N.I., Sabancıgil, P. (2008)

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On q-Szász-Durrmeyer operators

Nazim Mahmudov, Havva Kaffaoğlu (2010)

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In the present paper, we introduce the q-Szász-Durrmeyer operators and justify a local approximation result for continuous functions in terms of moduli of continuity. We also discuss a Voronovskaya type result for the q-Szász-Durrmeyer operators.

King type modification of $q$ -Bernstein-Schurer operators

Mei-Ying Ren, Xiao-Ming Zeng (2013)

Czechoslovak Mathematical Journal

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Very recently the $q$ -Bernstein-Schurer operators which reproduce only constant function were introduced and studied by C. V. Muraru (2011). Inspired by J. P. King, Positive linear operators which preserve $x^{2}$ (2003), in this paper we modify $q$ -Bernstein-Schurer operators to King type modification of $q$ -Bernstein-Schurer operators, so that these operators reproduce constant as well as quadratic test functions $x^{2}$ and study the approximation properties of these operators. We establish a convergence...

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Sharma, Honey (2009)

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Bleimann, Butzer, and Hahn operators based on the $q$ -integers.

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Approximation properties of q-Baskakov operators

Zoltán Finta, Vijay Gupta (2010)

Open Mathematics

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We establish direct estimates for the q-Baskakov operator introduced by Aral and Gupta in [2], using the second order Ditzian-Totik modulus of smoothness. Furthermore, we define and study the limit q-Baskakov operator.

Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators

Abdul Wafi, Salma Khatoon (2008)

Open Mathematics

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In the present paper our aim is to establish convergence and Voronovskaja-type theorems for first derivatives of generalized Baskakov operators for functions of one and two variables in exponential and polynomial weight spaces.