Araştırma Makalesi
Yıl 2020,
Sayı: 30, 1 - 7, 26.03.2020
Öz
Kaynakça
- D. Cardenas-Morales, P. Garrancho, I. Raşa, Bernstein-type Operators which Preserve Polynomials , Computers and Mathematics with Applications 62 (2011) 158-163.
- T. Acar, A. Aral, I. Raşa, Modi ed Bernstein-Durrmeyer Operators, General Mathematics 22(1) (2014) 27-41.
- T. Acar, A. Aral, I. Rasa, Positive Linear Operators Preserving and 2, Constructive Mathe- matical Analysis 2(3) (2019) 98-102.
- T. Acar, G. Ulusoy, Approximation by Modi ed Szasz Durrmeyer Operators, Periodica Mathe- matica Hungarica 72 (2016) 64-75.
- T. Acar, V. Gupta, A. Aral, Rate of Convergence for Generalized Szasz Operators, Bulletin of Mathematical Science 1(1) (2011) 99-113.
- A. Aral, D. Inoan, I. Raşa, On the Generalized Szasz-Mirakyan Operators, Results in Mathematics 65 (2014) 441-452.
- M. Bodur, O. G. Yilmaz, A. Aral, Approximation by Baskakov-Szasz-Stancu Operators Preserving Exponential Functions, Constructive Mathematical Analysis 1(1) (2018) 1-8.
- Z. Finta, A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators, Construc- tive Mathematical Analysis 2(3) (2019) 124-129.
- R. Maurya, H. Sharma, C. Gupta, Approximation Properties of Kantorovich Type Modi cations of (p, q)-Meyer-Konig-Zeller Operators, Constructive Mathematical Analysis 1(1) (2018) 58-72.
- G. Ulusoy Ada, On the Generalized Baskakov Durrmeyer Operators, Sakarya University Journal of Science 23(4) (2019) 549-553.
- Z. Finta, On Converse Approximation Theorems, Journal of Mathematical Analysis and Appli- cations 312(1) (2005) 159-180.
- A. Holhos, Quantitative Estimates for Positive Linear Operators in Weighted Space, General Mathematics 16(4) (2008) 99-110.
- A. Ciupa, A Class of Integral Favard Szasz Type Operators, Studia Universitatis Babes-Bolyai Mathematica 40(1) (1995) 39-47.
- A. D. Gadziev, The Convergence Problem for a Sequence of Positive Linear Operators on Unbounded Sets and Theorems Analogues to that of P. P. Korovkin, Doklady Akademii Nauk SSSR 218 (1974) 1001-1004, Also in Soviet Mathematics Doklady 15 (1974) 1433-1436.
Yıl 2020,
Sayı: 30, 1 - 7, 26.03.2020
Öz
In this paper, we define a new genuine Baskakov-Durrmeyer operators.
We give uniform convergence using the weighted modulus of continuity. Then we
study direct approximation of the operators in terms of the moduli of smoothness.
After that a Voronovskaya type result is studied.
Anahtar Kelimeler
Genuine Baskakov Durrmeyer operators weighted modulus of continuity Voronovskaya theorem
Kaynakça
- D. Cardenas-Morales, P. Garrancho, I. Raşa, Bernstein-type Operators which Preserve Polynomials , Computers and Mathematics with Applications 62 (2011) 158-163.
- T. Acar, A. Aral, I. Raşa, Modi ed Bernstein-Durrmeyer Operators, General Mathematics 22(1) (2014) 27-41.
- T. Acar, A. Aral, I. Rasa, Positive Linear Operators Preserving and 2, Constructive Mathe- matical Analysis 2(3) (2019) 98-102.
- T. Acar, G. Ulusoy, Approximation by Modi ed Szasz Durrmeyer Operators, Periodica Mathe- matica Hungarica 72 (2016) 64-75.
- T. Acar, V. Gupta, A. Aral, Rate of Convergence for Generalized Szasz Operators, Bulletin of Mathematical Science 1(1) (2011) 99-113.
- A. Aral, D. Inoan, I. Raşa, On the Generalized Szasz-Mirakyan Operators, Results in Mathematics 65 (2014) 441-452.
- M. Bodur, O. G. Yilmaz, A. Aral, Approximation by Baskakov-Szasz-Stancu Operators Preserving Exponential Functions, Constructive Mathematical Analysis 1(1) (2018) 1-8.
- Z. Finta, A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators, Construc- tive Mathematical Analysis 2(3) (2019) 124-129.
- R. Maurya, H. Sharma, C. Gupta, Approximation Properties of Kantorovich Type Modi cations of (p, q)-Meyer-Konig-Zeller Operators, Constructive Mathematical Analysis 1(1) (2018) 58-72.
- G. Ulusoy Ada, On the Generalized Baskakov Durrmeyer Operators, Sakarya University Journal of Science 23(4) (2019) 549-553.
- Z. Finta, On Converse Approximation Theorems, Journal of Mathematical Analysis and Appli- cations 312(1) (2005) 159-180.
- A. Holhos, Quantitative Estimates for Positive Linear Operators in Weighted Space, General Mathematics 16(4) (2008) 99-110.
- A. Ciupa, A Class of Integral Favard Szasz Type Operators, Studia Universitatis Babes-Bolyai Mathematica 40(1) (1995) 39-47.
- A. D. Gadziev, The Convergence Problem for a Sequence of Positive Linear Operators on Unbounded Sets and Theorems Analogues to that of P. P. Korovkin, Doklady Akademii Nauk SSSR 218 (1974) 1001-1004, Also in Soviet Mathematics Doklady 15 (1974) 1433-1436.
Toplam 14 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 26 Mart 2020 |
| Gönderilme Tarihi | 27 Aralık 2019 |
| Yayımlandığı Sayı | Yıl 2020 Sayı: 30 |
Kaynak Göster
- Makale Dosyaları