THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS

Volume: 67 Number: 2 August 1, 2018
  • Vishnu Narayan Mıshra
  • Prashantkumar Patel
EN

THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS

Abstract

Keywords

References

  1. Durrmeyer, J L, Une formule d’inversion de la transformee de Laplace: Applications a la theorie des moments, These de 3e cycle, Faculte des Sciences de l’Universite de Paris, 1967.
  2. Derriennic, M. M., Surl approximation de fonctions integrables sur [0; 1] par des polynomes de Bernstein modi…es, J. Approx. Theory, 32 (1981) 325–343.
  3. Lupas, A., A q-analogue of the Bernstein operator, University of Cluj-Napoca, Seminar on numerical and statistical calculus, 9 (1987), 85-92, Calculus (Cluj-Napoca, 1987), Preprint, 9 Univ. Babes-Bolyai, Cluj. MR0956939 (90b:41026).
  4. Gupta, V., Some approximation properties of q-Durrmeyer operators, Appl. Math. Comp., , 191(1), (2008) 172-178.
  5. Zeng, X. M., Lin, D. and Li, L., A note on approximation properties of q-Durrmeyer operators, Appl. Math. Comp., 216(3) (2010) 819–821.
  6. Mishra, V. N. and Patel, P., A short note on approximation properties of Stancu generaliza- tion of q-Durrmeyer operators, Fixed Point Th. Appl., 84(1) (2013) 5 pages.
  7. Mishra, V. N. and Patel, P., On generalized integral Bernstein operators based on q-integers, Appl. Math. Comp., 242 (2014) 931-944.
  8. Gupta, V. and Sharma, H. Recurrence formula and better approximation for q-Durrmeyer operators, Lobachevskii J. Math., 32(2) (2011) 140–145.

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

Vishnu Narayan Mıshra This is me

Prashantkumar Patel This is me

Publication Date

August 1, 2018

Submission Date

August 1, 2018

Acceptance Date

-

Published in Issue

Year 2018 Volume: 67 Number: 2

APA
Mıshra, V. N., & Patel, P. (2018). THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 298-305. https://izlik.org/JA43DF76UK
AMA
1.Mıshra VN, Patel P. THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):298-305. https://izlik.org/JA43DF76UK
Chicago
Mıshra, Vishnu Narayan, and Prashantkumar Patel. 2018. “THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR Q-DERIVATIVE OF INTEGRAL GENERALIZATION OF Q-BERNSTEIN OPERATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 (2): 298-305. https://izlik.org/JA43DF76UK.
EndNote
Mıshra VN, Patel P (August 1, 2018) THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 2 298–305.
IEEE
[1]V. N. Mıshra and P. Patel, “THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 2, pp. 298–305, Aug. 2018, [Online]. Available: https://izlik.org/JA43DF76UK
ISNAD
Mıshra, Vishnu Narayan - Patel, Prashantkumar. “THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR Q-DERIVATIVE OF INTEGRAL GENERALIZATION OF Q-BERNSTEIN OPERATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/2 (August 1, 2018): 298-305. https://izlik.org/JA43DF76UK.
JAMA
1.Mıshra VN, Patel P. THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:298–305.
MLA
Mıshra, Vishnu Narayan, and Prashantkumar Patel. “THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR Q-DERIVATIVE OF INTEGRAL GENERALIZATION OF Q-BERNSTEIN OPERATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 2, Aug. 2018, pp. 298-05, https://izlik.org/JA43DF76UK.
Vancouver
1.Vishnu Narayan Mıshra, Prashantkumar Patel. THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 2018 Aug. 1;67(2):298-305. Available from: https://izlik.org/JA43DF76UK