On (p,q)-analogue of two parametric Stancu-Beta operators

Our purpose is to introduce a two-parametric ( p , q ) -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem. We also obtain the Voronovskaya-type estimate for these operators. Furthermore...

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Veröffentlicht in:	Journal of inequalities and applications 2016-12, Vol.2016 (1), p.1-15, Article 190
Hauptverfasser:	Mursaleen, Mohammad, Sarsenbi, Abdizhahan M, Khan, Taqseer
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Approximation Estimates Formulas (mathematics) Inequalities linear positive operators Lipschitz function Mathematical analysis Mathematics Mathematics and Statistics modulus of continuity Operators rate of convergence Recent Developments of Integral Inequalities and its Applications Stancu-Beta operators Texts Theorems Voronovskaya-type theorem
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Zusammenfassung:	Our purpose is to introduce a two-parametric ( p , q ) -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem. We also obtain the Voronovskaya-type estimate for these operators. Furthermore, we study the weighted approximation results and pointwise estimates for these operators.
ISSN:	1029-242X 1029-242X
DOI:	10.1186/s13660-016-1128-7