Dergiler / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 3

Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures

Sayfa
333–339
Yayın Tarihi
2022-11-03
DOI
—
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Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2].
📊
Temel Bulgular & Veri:In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2].
💡
Sonuç & Katkı:Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Statistical convergence · A-statistical convergence · positive linear operators

Özet

In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.

Abstract

In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.

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Bu Makaleye Atıf Yap

DUMAN, O. (2022). Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures. Turkish Journal of Mathematics, Cilt: 31 - Sayı: 3, 333–339. https://ajindex.com/articles/608615

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Kaynakça (13)

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  2. Duman, O., Khan, M.K., Orhan, C.: A-statistical convergence of approximating operators. Math. Inequal. Appl. 6, 689-699 (2003).
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  4. Duman O., Orhan, C.: Statistical approximation by positive linear operators. Studia Math., 187-197 (2004). Erku¸s, E., Duman, O.: A-statistical extension of the Korovkin type approximation theorem. Proc. Indian Acad. Sci. (Math. Sci.) 115, 499-508 (2005).
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  10. Kirov, G., Popova, L.: A generalization of the linear positive operators. Math. Balkanica, 149-162 (1993).
  11. Kolk, E.: Matrix summability of statistically convergent sequences. Analysis 13, 77-83 (1993).
  12. Korovkin, P.P.: Linear Operatorsand Theory of Approximation, Hindustan Publ. Co., Delhi, 1960.
  13. Miller, H.I.: A measure theoretical subsequence characterization of statistical convergence. Trans. Amer. Math. Soc. 347, 1811-1819 (1995). Oktay DUMAN TOBB Economicsand Technology University, Faculty of Artsand Sciences, Department of Mathematics, S¨o˘g¨ut¨oz¨u 06530, Ankara-TURKEY e-mail: [email protected]