APPROXIMATION BY CHLODOWSKY TYPE q-JAKIMOVSKI-LEVIATAN OPERATORS

Abstract

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Keywords

• Jakimovski-Leviatan operators, Chlodowsky operators, rate of convergence, q-calculus, q-Appell polynomials, q-derivative

References

1. Ç. Atakut and ·I. Büyükyazıcı, The rate of convergence of the q-analogue of Favard-Szasz type operators, Journal of Comp. Ana. and App., 13, 4 (2011), 673-682.
2. Ç. Atakut, ·I. Büyükyazıcı, Stancu type generalization of the Favard-Szàsz operators, Appl. Math. Letters, 23(12) (2010), 1479-1482 .
3. A. Aral, A generalization of Szasz-Mirakyan operators based on q-integers, Mathematical and Computer Modelling, 47, (2008), 1052-1062.
4. A. Aral and V. Gupta, The q-derivative and applications to q-Szasz Mirakyan operators, Calcolo, 43, (2006), 151-170
5. D. Aydin Ari and S. Kirci Serenbay, Approximation by a generalization of the Jakimovski- Leviatan operators, arXiv:1510.08819v1 20 Oct. 2015.
6. A. Ciupa, On a generalized Favard-Szasz type operator, Seminar on Numerical ans Statistical Calculus, Univ. Babe¸s-Bolyai Cluj-Napoca, preprint nr.1 (1994), 33-38.
7. ·I. Büyükyazıcı, H. Tanberkan, S. Kirci Serenbay, Ç. Atakut, Approximation by Chlodowsky type Jakimovski-Leviatan operators, J. Comp. and App. Math., 259, (2014), 153-163.
8. A. Jakimovski, D. Leviatan, General Szasz operators for the approximation in the in…nite interval, Mathematica (Cluj), 34, (1969), 97-103.

9. A. Karaisa, D. T. Tollu and Y. Asar. Stancu type generalization of q-Favard–Szàsz operators, Applied Mathematics and Computation 264 (2015): 249-257. A. Karaisa, Choldowsky arXiv:1505.06904v1 [math.CA] 26 May 2015. type generalization of the q-Favard Szàsz operators
10. A. Lupa¸s, A q-analogue of the Bernstein operators, University of Cluj-Napoca, Seminar on Numerical andstatistical calculus, 9, 1987.
11. P. Sharma, V.N. Mishra, Weighted Approximation theorem for Choldowsky generalization of the q-Favard-Sz´ asz operators, arXiv:1510.03408 [math.CA] 7 Oct 2015.
12. Z. Pavi´c, J. Peµcari´c, A. Vukeli´c, Means for divided diğerences and exponential convexity, Mediterr. J. Math., 9(1), (2012), 187-198.
13. G. M. Philips, Bernstein Polynomials based on q-integers. Ann. Numer.Math., 4, (1997), –518.
14. S. Sucu and S.Varma, Generalization of Jakimovski- Leviatan type Szasz operators, Applied Mathematics and Computation 270, (2015), 977-983.
15. Current address : Ba¸skent University, Faculty of Education, Department of Mathematics Ed- ucation, Ankara, Turkey E-mail address : [e-mail] Current address : Ba¸skent University, Faculty of Education, Department of Mathematics Ed- ucation, Ankara, Turkey E-mail address : [e-mail]