SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES

Volume: 65 Number: 2 August 1, 2016
  • T. Yurdakadım
EN

SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES

Abstract

In this paper, we obtain a Korovkin type approximation result for a sequence of positive linear operators defined on modular spaces with the use of power series method . We also provide an example which satisfies our theorem.

Keywords

References

  1. F. Altomare and S. Diomede, Contractive Korovkin subsets in weighted spaces of continuous functions. Rend. Circ. Mat. Palermo 50 (2001), 547-568.
  2. F. Altomare, Korovkin-type theorems and approximation by positive linear operators. Sur- veys in Approximation Theory 5.13 (2010).
  3. C. Bardaro, I. Mantellini, Approximation properties in abstract modular spaces for a class of general sampling-type operators. Appl. Anal. 85 (2006), 383-413.
  4. C. Bardaro, I. Mantellini, Korovkin’s theorem in modular spaces. Comment. Math. 47 (2007), 253.
  5. C. Bardaro, A. Boccuto, X. Dimitriou, I. Mantellini, Modular …lter convergence theorems for abstract sampling-type operators. Appl. Anal. 92 (2013), 2404-2423.
  6. C. Bardaro, I. Mantellini, Multivariate moment type operators: approximation properties in Orlicz spaces. J. Math. Ineq. 2 (2008), 247-259.
  7. C. Bardaro, A. Boccuto, X. Dimitriou, I. Mantellini, A Korovkin theorem in multivariate modular function spaces. J. Func. Spaces Appl., 7 (2009), 105-120.
  8. C. Bardaro, J. Musielak, G. Vinti, Nonlinear Integral Operators and Applications. De Gruyter Ser. Nonlinear Anal. Appl. 9, Walter de Gruyter, Berlin (2003).

Details

Primary Language

English

Subjects

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Journal Section

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Authors

T. Yurdakadım This is me

Publication Date

August 1, 2016

Submission Date

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Acceptance Date

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Published in Issue

Year 2016 Volume: 65 Number: 2

APA
Yurdakadım, T. (2016). SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(2), 65-76. https://doi.org/10.1501/Commua1_0000000760
AMA
1.Yurdakadım T. SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(2):65-76. doi:10.1501/Commua1_0000000760
Chicago
Yurdakadım, T. 2016. “SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 (2): 65-76. https://doi.org/10.1501/Commua1_0000000760.
EndNote
Yurdakadım T (August 1, 2016) SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 2 65–76.
IEEE
[1]T. Yurdakadım, “SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 65, no. 2, pp. 65–76, Aug. 2016, doi: 10.1501/Commua1_0000000760.
ISNAD
Yurdakadım, T. “SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/2 (August 1, 2016): 65-76. https://doi.org/10.1501/Commua1_0000000760.
JAMA
1.Yurdakadım T. SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65:65–76.
MLA
Yurdakadım, T. “SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 65, no. 2, Aug. 2016, pp. 65-76, doi:10.1501/Commua1_0000000760.
Vancouver
1.T. Yurdakadım. SOME KOROVKIN TYPE RESULTS VIA POWER SERIES METHOD IN MODULAR SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016 Aug. 1;65(2):65-76. doi:10.1501/Commua1_0000000760

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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