SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER
Yıl: 2016 Cilt: 65 Sayı: 2 Sayfa Aralığı: 97 - 119 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER
Öz: In this paper, we introduce two diğerent Kantorovich type generalization of the q Chlodowsky operators. For the ...rst operators we give someweighted approximation theorems and a Voronovskaja type theorem. Also, wepresent the local approximation properties and the order of convergence forunbounded functions of these operators . For second operators, we obtain aweighted statistical approximation property.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Aral A., Gupta V., Agarwal R. P., Applications of q Calculus in Operator Theory, Springer, New York, 2013.
- Kac V., Cheung P., Quantum Calculus, Springer, New York, 2002.
- Karsli H., Gupta V., Some approximation properties of q Chlodowsky operators, Appl. Math. Comput. (2008), 195, 220-229.
- Karaisa A., Approximation by Durrmeyer type Jakimoski-Leviatan operators, Math. Meth- ods Appl. Sci. (2015), In Press, DOI 10.1002/mma.3650.
- Karaisa A., Tollu D. T., Asar Y., Stancu type generalization of q-Favard-Szàsz operators, Appl. Math. Comput. (2015), 264, 249-257.
- Aral A., Gupta V., Generalized q Baskakov operators, Math.Slovaca (2011), 61, 619-634.
- Aral A., A generalization of Szàsz-Mirakyan operators based on q integers, Math. Comput. Model. (2008), 47, 1052-1062.
- Gadjieva E. A., ·Ibikli E., Weighted approximation by Bernstein-Chlodowsky polynomials, Indian J. Pure. Appl. Math. (1999), 30 (1), 83-87.
- Büyükyazıcı, İ., Approximation by Stancu-Chlodowsky polynomials, Comput. Math. Appl. (2010), 59, 274-282.
- Yüksel, İ., Dinlemez Ü., Voronovskaja type approximation theorem for q Szàsz-Beta opera- tors, Appl. Math. Comput. (2014), 235, 555-559.
- Jackson F.H., On the q definite integrals, Quart. J. Pure Appl. Math. (1910), 41, 193-203.
- Altomare F., Campiti M., Korovkin-type Approximation Theory and its Applications. Vol. Walter de Gruyter, 1994.
- Dalmanoğlu Ö., Doğru O., On statistical approximation properties of Kantorovich type qBernstein operators, Math. Comput. Model. (2010), 52, 760-771.
- Fast H., Sur la convergence statistique, Colloq Math. (1951), 2, 241-244.
- Gadjiev A.D., Theorems of the type of P. P. Korovkin type theorems, Math. Zametki. (1976) , 781-786.
- Gadjiev A.D., Orhan C., Some approximation properties via statistical convergence, Rocky Mountain J. Math. (2002), 32, 129-138.
- Gauchman H., Integral inequalities in q calculus. Comput Math. Appl. (2004), 47, 281-300.
- Ispir N., On modi...ed Baskakov operators on weighted spaces, Turk. J. Math. (2001), 26, -365.
- Lorentz G.G., Bernstein Polynomials, Toronto, Canada, University of Toronto Press, 1953.
- Marinkovi S., Rajkovi P., Stankovi M., The inequalities for some types of q integrals, Com- put. Math. Appl. (2008), 56, 2490-2498.
- Phillips G.M., Bernstein polynomials based on the q integers. Ann. Numer. Math. (1997), , 511-518.
- Steinhaus H., Sur la convergence ordinaire et la convergence asymptotique, Colloq Math. (1951) 2, 73-74.
| APA | KARAİSA A, ARAL A (2016). SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. , 97 - 119. |
| Chicago | KARAİSA Ali,ARAL Ali SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. (2016): 97 - 119. |
| MLA | KARAİSA Ali,ARAL Ali SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. , 2016, ss.97 - 119. |
| AMA | KARAİSA A,ARAL A SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. . 2016; 97 - 119. |
| Vancouver | KARAİSA A,ARAL A SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. . 2016; 97 - 119. |
| IEEE | KARAİSA A,ARAL A "SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER." , ss.97 - 119, 2016. |
| ISNAD | KARAİSA, Ali - ARAL, Ali. "SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER". (2016), 97-119. |
| APA | KARAİSA A, ARAL A (2016). SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 65(2), 97 - 119. |
| Chicago | KARAİSA Ali,ARAL Ali SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 65, no.2 (2016): 97 - 119. |
| MLA | KARAİSA Ali,ARAL Ali SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.65, no.2, 2016, ss.97 - 119. |
| AMA | KARAİSA A,ARAL A SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2016; 65(2): 97 - 119. |
| Vancouver | KARAİSA A,ARAL A SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2016; 65(2): 97 - 119. |
| IEEE | KARAİSA A,ARAL A "SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 65, ss.97 - 119, 2016. |
| ISNAD | KARAİSA, Ali - ARAL, Ali. "SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q-INTEGER". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 65/2 (2016), 97-119. |
