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Bernstein Stancu operator of rough $I$-core of triple sequences

A. Esi|N. Subramanian|M. K. Ozdemir
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2019.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제18권 제3호|pp. 285-296|DOI 10.30948/afmi.2019.18.3.285

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참고문헌

키워드

Idealtriple sequencesRough convergenceClosed and convexCluster points and rough limit pointsBernstein-Stancu operator

초록

We introduce and study some basic properties of Bernstein-Stancu polynomials of rough $I$-convergent of triple sequences and also study the set of all Bernstein-Stancu polynomials of rough $I$-limits of a triple sequence and relation between analyticness and Bernstein-Stancu polynomials of rough $I$-core of a triple sequence.

Abstract

We introduce and study some basic properties of Bernstein-Stancu polynomials of rough $I$-convergent of triple sequences and also study the set of all Bernstein-Stancu polynomials of rough $I$-limits of a triple sequence and relation between analyticness and Bernstein-Stancu polynomials of rough $I$-core of a triple sequence.

참고문헌 (16)

  1. S. Aytar, "Rough statistical convergence", Numer. Funct. Anal. Optim, 29(3-4), pp.291~303 (2008)
  2. S. Aytar, "The rough limit set and the core of a real sequence", Numer. Funct. Anal. Optim, 29(3-4), pp.283~290 (2008)
  3. A. Esi, "On some triple almost lacunary sequence spaces defined by Orlicz functions", Research and Reviews: Discrete Mathematical Structures, 1(2), pp.16~25 (2014)
  4. A. Esi, "Almost convergence of triple sequences", Global Journal of Mathematical Analysis, 2(1), pp.6~10 (2014)
  5. A. Esi, "On lacunary statistically convergent triple sequences in probabilistic normed space", Appl. Math. and Inf. Sci, 9(5), pp.2529~2534 (2015)
  6. A. Esi, "Statistical Convergence of Bernstein Operators", Appl. Math. and Inf. Sci, 10(6), pp.2083~2086 (2016)
  7. A. J. Datta, "Statistically convergent triple sequence spaces defined by Orlicz function", J. Math. Anal, 4(2), pp.16~22 (2013)
  8. S. Debnath, "Some generalized triple sequence spaces of real numbers", J. Nonlinear Anal. Optim, 6(1), pp.71~79 (2015)
  9. E. Dundar, "Rough I-convergence", Demonstr. Math, 47(3), pp.638~651 (2014)
  10. K. Khan, "Bezier curves based on Lupas (p; q)-analogue of Bernstein functions in CAGD", J. Comput. Appl. Math, 317, pp.458~477 (2017)
  11. H. X. Phu, "Rough convergence in normed linear spaces", Numer. Funct. Anal. Optim, 22, pp.199~222 (2001)
  12. H. X. Phu, "Rough continuity of linear operators", Numer. Funct. Anal. Optim, 23, pp.139~146 (2002)
  13. H. X. Phu, "Rough convergence in infinite dimensional normed spaces", Numer. Funct. Anal. Optim, 24, pp.285~301 (2003)
  14. A. Sahiner, "Triple sequences and their statistical convergence", Selcuk Journal of Applied Mathematics, 8(2), pp.49~55 (2007)
  15. A. Sahiner, "Some I-related properties of triple sequences", Selcuk Journal of Applied Mathematics, 9(2), pp.9~18 (2008)
  16. N. Subramanian, "The generalized tripled di erence of 3 sequence spaces", Global Journal of Mathematical Analysis, 3(2), pp.54~60 (2015)

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