Modified q_Baskakov operators

Year 2016, Volume: 65 Issue: 1, 1 - 10, 01.02.2016

Dilek Söylemez

https://doi.org/10.1501/Commua1_0000000739

Cited By: 3

Keywords

Modified q Baskakov operators, weighted Korovkin theorem, monotonicity properties

References

• Altomare, F. and Mangino, E. M. 1999. On a generalization of Baskakov operator, Rev.
• Roumaine Math. Pures Appl. 44, 683–705. Aral, A. Acar, T. 2012. Voronovskaja type result for q derivative of q Baskakov operators.
• Journal of Applied Functional Analysis, vol. 7(4), 321-331. Aral, A. Gupta, V. 2009. On q Baskakov type operators, Demonstratio Math. 42 (1), 109–
• Aral, A. Gupta, V. 2011. Generalized q Baskakov operators, Math. Slovaca 61 (4), 619–634.
• Aral, A., Inoan, D. and Ra¸sa, I. 2014. On the generalized Szász-Mirakyan operators. Resulr in Mathematics. 65, 441-452.
• Atakut, Ç. 1997. On the approximation of functions together with derivatives by certain linear positive operators, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 46 (1 2) 57–65.
• Baskakov, V. A. 1957. An example of a sequence of linear positive operators in the spaces of continuous functions, Doklady Akademii Nauk SSSR 112, 249–251.
• Cao, F. , Ding, C. and Xu, Z. 2005. On multivariate Baskakov operator, J. Math. Anal. Appl. no. 1, 274–291
• Cárdenas-Moreles, D. Garrancho, P., Ra¸sa, I.: 2011. Berstein-type operators which preserve polynomials. Compt. Math. Appl. 62, 158-163.
• Ernst, T. 2000.The history of q calculus and a new method, U.U.U.D.M Report 2000, 16
• ISSN 1101-3591, Department of Mathematics, Upsala University.
• Finta, Z. Gupta, V. 2010. Approximation properties of q Baskakov operators, Cent. Eur. J. Math. 8(1), 199-211.
• Gadjiev, A. D. 1974. The convergence problem for a sequence of positive linear operators on unbounded sets and theorems analogues to that of P. P. Korovkin. Dokl. Akad. Nauk SSSR , 1001-1004. Also in Soviet Math. Dokl. 15, 1433-1436.
• Gadjiev, A. D. 1976. Theorems of the type of P. P. Korovkin’s theorems (in Russian), Math.
• Z. 205, 781-786, translated in Maths Notes, 20 (5-6), 995-998 (1977).
• Holho¸s, A. 2008. Quantitative estimates for positive linear operators in weighted space. Gen. Math. 16(4), 99-110.
• ·Ispir N., 2001. On Modi…ed Baskakov Operators on Weighted Spaces. Turkish Journal of Mathematics, 25, No:3 (355-365).
• Pethe, S. 1984. On the Baskakov operator, Indian J. Math. 26, No. 1–3, 43–48 (1985).
• Phillips, G. M. 2003. Interpolation and approximation by polynomials. CMS Books in Math- ematics/Ouvrages de Mathématiques de la SMC, 14. Springer-Verlag, New York.
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