SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD

Volume: 65 Number: 1 February 1, 2016
  • Emre Taş
EN

SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD

Abstract

In this paper, we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkintype approximation theorem for the Mastroianni operators with the use ofpower series method which includes Abel and Borel methods. We also givesome estimates in terms of the modulus of continuity and the second modulusof smoothness

Keywords

References

  1. O. Agratini and B. Della Vecchia, Mastroianni operators revisited, Facta Univ. Ser. Math. Inform 19 (2004), 53-63.
  2. F. Altomare and M. Campiti, Korovkin-type approximation theory and its applications, De Gruyter Studies in Mathematics, 17, Walter de Gruyter Co., Berlin (1994).
  3. F. Altomare, Korovkin-type theorems and approximation by positive linear operators, Surv. Approx. Theory, 5 (2010), 92-164.
  4. O. G. Atlihan and C. Orhan, Matrix summability and positive linear operators, Positivity 11 (2007), 387-398.
  5. J. Boos, Classical and Modern Methods in Summability, Oxford University Press (2000).
  6. P. L. Butzer and H. Berens, Semi-groups of operators and approximation, Die Grundlehren der Mathematischen Wissenschaften, 145, Springer, New York, (1967).
  7. O. Duman, M. K. Khan and C. Orhan, A statistical convergence of approximating operators, Math. Inequal. Appl. 6 (2003), 689-699.
  8. O. Duman, Summability process by Mastroianni operators and their generalizations, Mediterr. J. Math. 12 (2015), 21-35.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

Emre Taş This is me

Publication Date

February 1, 2016

Submission Date

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Acceptance Date

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Published in Issue

Year 2016 Volume: 65 Number: 1

APA
Taş, E. (2016). SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(1), 187-195. https://doi.org/10.1501/Commua1_0000000753
AMA
1.Taş E. SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(1):187-195. doi:10.1501/Commua1_0000000753
Chicago
Taş, Emre. 2016. “SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 (1): 187-95. https://doi.org/10.1501/Commua1_0000000753.
EndNote
Taş E (February 1, 2016) SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 1 187–195.
IEEE
[1]E. Taş, “SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 65, no. 1, pp. 187–195, Feb. 2016, doi: 10.1501/Commua1_0000000753.
ISNAD
Taş, Emre. “SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/1 (February 1, 2016): 187-195. https://doi.org/10.1501/Commua1_0000000753.
JAMA
1.Taş E. SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65:187–195.
MLA
Taş, Emre. “SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 65, no. 1, Feb. 2016, pp. 187-95, doi:10.1501/Commua1_0000000753.
Vancouver
1.Emre Taş. SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016 Feb. 1;65(1):187-95. doi:10.1501/Commua1_0000000753

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