Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators
Yıl: 2021 Cilt: 4 Sayı: 1 Sayfa Aralığı: 20 - 33 Metin Dili: İngilizce DOI: 10.33205/cma.780906 İndeks Tarihi: 29-07-2022
Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators
Öz: The aim of this paper is to obtain Grüss and Grüss-Voronovskaya inequalities with exact quantitativeestimates (with respect to the degree) for the complex convolution polynomial operators of de la Vallée Poussin, ofZygmund-Riesz and of Jackson, acting on analytic functions.Keywords: Complex convolution polynomials, de la Vallée-Poussin kernel, Riesz-Zygmund kernel, Jackson kernel,Grüss-type estimate, Grüss-Voronovskaya-type estimate, analytic functions.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] A. M. Acu, H. Gonska and I. Ra¸sa: Grüss-type and Ostrovski-type inequalities in approximation theory. Ukrainian Mathematical Journal 63 (2011), No. 6, 843-864.
- [2] S. G. Gal: Approximation by Complex Bernstein and Convolution Type Operators. World Scientific Publ. Co., New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai, 2009.
- [3] I. Gavrea, B. Gavrea: Ostrowski type inequalities from a linear functional point of view. JIPAM. J. Inequal. Pure Appl. Math. 1 (2000), Article 11.
- [4] S. G. Gal, H. Gonska: Grüss and Grüss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables. Jaen J. Approx. 7 (1)(2015), 97-122.
- [5] H. Gonska, I. Ra¸sa and M. Rusu: Ceby ˘ sev-Grüss-type inequalities revisited ˘ . Mathematica Slovaca 63 (2013), No. 5, 1007-1024.
- [6] W. Rudin: Principles of Mathematical Analysis. McGraw-Hill, Inc., New York, 1976.
| APA | Gal S, Iancu I (2021). Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. , 20 - 33. 10.33205/cma.780906 |
| Chicago | Gal Sorin,Iancu Ionut Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. (2021): 20 - 33. 10.33205/cma.780906 |
| MLA | Gal Sorin,Iancu Ionut Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. , 2021, ss.20 - 33. 10.33205/cma.780906 |
| AMA | Gal S,Iancu I Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. . 2021; 20 - 33. 10.33205/cma.780906 |
| Vancouver | Gal S,Iancu I Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. . 2021; 20 - 33. 10.33205/cma.780906 |
| IEEE | Gal S,Iancu I "Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators." , ss.20 - 33, 2021. 10.33205/cma.780906 |
| ISNAD | Gal, Sorin - Iancu, Ionut. "Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators". (2021), 20-33. https://doi.org/10.33205/cma.780906 |
| APA | Gal S, Iancu I (2021). Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. Constructive mathematical analysis (Online), 4(1), 20 - 33. 10.33205/cma.780906 |
| Chicago | Gal Sorin,Iancu Ionut Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. Constructive mathematical analysis (Online) 4, no.1 (2021): 20 - 33. 10.33205/cma.780906 |
| MLA | Gal Sorin,Iancu Ionut Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. Constructive mathematical analysis (Online), vol.4, no.1, 2021, ss.20 - 33. 10.33205/cma.780906 |
| AMA | Gal S,Iancu I Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. Constructive mathematical analysis (Online). 2021; 4(1): 20 - 33. 10.33205/cma.780906 |
| Vancouver | Gal S,Iancu I Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators. Constructive mathematical analysis (Online). 2021; 4(1): 20 - 33. 10.33205/cma.780906 |
| IEEE | Gal S,Iancu I "Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators." Constructive mathematical analysis (Online), 4, ss.20 - 33, 2021. 10.33205/cma.780906 |
| ISNAD | Gal, Sorin - Iancu, Ionut. "Grüss and Grüss-Voronovskaya-type estimates for complex convolution polynomial operators". Constructive mathematical analysis (Online) 4/1 (2021), 20-33. https://doi.org/10.33205/cma.780906 |
