Statistical extension of the Korovkin-type approximation theorem.
Demirici, Kamil, Dirik, Fadime (2011)
Applied Mathematics E-Notes [electronic only]
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Demirici, Kamil, Dirik, Fadime (2011)
Applied Mathematics E-Notes [electronic only]
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Hüseyin Aktuğlu, Halil Gezer (2009)
Open Mathematics
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In this paper, the concept of lacunary equi-statistical convergence is introduced and it is shown that lacunary equi-statistical convergence lies between lacunary statistical pointwise and lacunary statistical uniform convergence. Inclusion relations between equi-statistical and lacunary equi-statistical convergence are investigated and it is proved that, under some conditions, lacunary equi-statistical convergence and equi-statistical convergence are equivalent to each other. A Korovkin...
Popa, Emil C. (2002)
General Mathematics
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Mehmet Özarslan (2009)
Open Mathematics
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In this paper, we obtain some approximation theorems for k- positive linear operators defined on the space of analytical functions on the unit disc, via I-convergence. Some concluding remarks which includes A-statistical convergence are also given.
Pop, Ovidiu T. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Vijay Gupta, P. N. Agrawal (1991)
Publications de l'Institut Mathématique
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Paulina Pych-Taberska (1989)
Banach Center Publications
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Vijay Gupta, G. S. Srivastava (1996)
Annales Polonici Mathematici
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We define a new kind of Durrmeyer-type summation-integral operators and study a global direct theorem for these operators in terms of the Ditzian-Totik modulus of smoothness.
Căbulea, Lucia A., Todea, Mihaela (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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Xiao-Ming Zeng, Vijay Gupta (2009)
Open Mathematics
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The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators for the case 0 < α < 1. In the end we propose the q-analogue of...