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Dergiler / Gazi University Journal of Science / 2018 / Cilt: 31 - Sayı: 2

On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators

İbrahim BÜYÜKYAZICI
Çiğdem ATAKUT
Sayfa
569–576
Yayın Tarihi
2018-06-01
DOI
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In the present paper, we give a generalization of rational type Baskakov operators and study the order of approximation of continuous functions with polynomials growth at infinity by using these operators.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present paper, we give a generalization of rational type Baskakov operators and study the order of approximation of continuous functions with polynomials growth at infinity by using these operators.
📊
Temel Bulgular & Veri:In the present paper, we give a generalization of rational type Baskakov operators and study the order of approximation of continuous functions with polynomials growth at infinity by using these operators.
💡
Sonuç & Katkı:In the present paper, we give a generalization of rational type Baskakov operators and study the order of approximation of continuous functions with polynomials growth at infinity by using these operators.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Baskakov type operators · Modulus of continuity · Order of approxmation

Abstract

In the present paper, we give a generalization of rational type Baskakov operators and study the order of approximation of continuous functions with polynomials growth at infinity by using these operators.

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Bu Makaleye Atıf Yap

BÜYÜKYAZICI, İ., ATAKUT, Ç. (2018). On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators. Gazi University Journal of Science, Cilt: 31 - Sayı: 2, 569–576. https://ajindex.com/articles/254470

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Kaynakça (5)

  1. F. Altomare, M. Campiti, Korovkin-Type Approximation Theory and Its applications, 1994,
  2. New York. A.D. Gadjiev, A problem on the convergence of a sequence of positive linear operators on unbounded sets, and theorems that are analogous to P. P. Korovkin's theorem. (Russian), Dokl. Akad. Nauk SSSR, 218, 1001-1004 (1974).
  3. A. D. Gadjiev, Weighted approximation of continuous functions by positive linear operators on the whole real axis(Russian), Izv. Akad. Nauk Azerb. SSR Ser. Fiz.-Tehn. Mat. Nauk, 5, 41-45 (1975).
  4. A.D. Gadjiev, Ç. Atakut, On Approximation Of Unbounded Functions By The Generalized Baskakov Operators, Trans. Acad. Sci. Azerb. Ser. Phys.- Tech. Math. Sci., 23(1), 33-42 (2003).
  5. V. Gupta, N. Ispir, On the Bezier variant of generalized Kantorovich type Balazs operators, Appl. Math. Lett., 18(9), 1053-1061 (2005). N. ·Ispir, Ç. Atakut, Approximation by generalized Balazs type rational functions, Int. J. Comput. Numer. Anal., 4(3), 297-316 (2003). N. ·Ispir, Rate of convergence of generalized rational type Baskakov operators, Mathematical and Computer Modelling, 46, 625-631(2007).