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Local approximation properties of certain class of linear positive operators via I-convergence

100%

Özarslan M. , Aktuǧlu H.

tom 6

nr 2

281-286

In this study, we obtain a local approximation theorems for a certain family of positive linear operators via I-convergence by using the first and the second modulus of continuities and the elements of Lipschitz class functions. We also give an example to show that the classical Korovkin Theory does not work but the theory works in I-convergence sense.

Statistical approximation for periodic functions

88%

Duman O.

tom Vol. 36, nr 4

873--878

In this paper we study a Korovkin type approximation theorem for positive linear operators on the space of all 2π-periodic and continuous functions on the whole real axis via A-statistical convergence.

Rate of convergence of Szász-beta operators based on q-integers

75%

Gupta P. , Agrawal P. N.

2017

tom Vol. 50, nr 1

130--143

The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation.

Some properties of modified Szász-Mirakyan operators in polynomial spaces via the power summability method

51%

Braha N. L.

2020

tom Vol. 26, nr 1

79--90

In this paperwe will prove the Korovkin type theorem for modified Szász-Mirakyan operators via Astatistical convergence and the power summability method. Also we give the rate of the convergence related to the above summability methods, and in the last section, we give a kind of Voronovskaya type theorem for A-statistical convergence and Grüss-Voronovskaya type theorem.