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2021 | 158 | 72-90
Article title

Rumination on Trigonometric Topological Spaces

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EN
Abstracts
EN
The intent of this paper is to deliberate the sine and cosine topologies and some set theory relations. Further we analyse the interior and closure operaters of Sine and Cosine topologies with illustrative examples and discuss about some results on Sine-interior, Sine-Closure, Cos-interior and Cos-closure.
Year
Volume
158
Pages
72-90
Physical description
Contributors
  • Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Autonomous), SivakasI - 626 124, Tamil Nadu, India
author
  • Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Autonomous), SivakasI - 626 124, Tamil Nadu, India
References
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  • [3] S. Malathi, Dr. R. Usha Parameswari & S. Malathi. On t-Neighbourhoods in Trigonometric Topological Spaces. Turkish Journal of Computer and Mathematics Education Vol.12, No.1S (2021), 655-658. https://doi.org/10.17762/turcomat.v12i1S.1954
  • [4] V. I. Arnol'd. Topological Classification of Trigonometric Polynomials and Combinatorics of Graphs with an Equal Number of Vertices and Edges. Funct. Anal. Appl. 30:1 (1996) 1–14. https://doi.org/10.4213/faa501
  • [5] Juan Miguel Medina, Lutz Peter Klotz, Manfred Riedel, Density of spaces of trigonometric polynomials with frequencies from a subgroup in Lα-spaces. Comptes Rendus Mathematique, Volume 356, Issue 6, 2018, Pages 586-593, https://doi.org/10.1016/j.crma.2018.04.021
  • [6] A. Devika, S. Kiruthika, M. Pavithra, A study on Topological and Topogenic set indexers of certain family of graphs. World Scientific News 138(2) (2019) 65-78
  • [7] Ramazan Akgün and Vakhtang Kokilashvili. The refined direct and converse inequalitiesof trigonometric approximation inweighted variable exponent Lebesgue spaces. Georgian Math. J. 18 (2011) 399-423. DOI 10.1515 / GMJ.2011.0037
  • [8] Arnold, V.I. Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges. Funct Anal Its Appl 30, 1–14 (1996). https://doi.org/10.1007/BF02509551
  • [9] AkgünR. 2011. Trigonometric Approximation of Functions in Generalized Lebesgue Spaces With Variable Exponent. Ukrains’kyi Matematychnyi Zhurnal 63 (1), 3-23.
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  • [11] L. Bernal-González, M. Calderón-Moreno, W. Luh. Universality and summability of trigonometric polynomials and trigonometric series. Period. Math. Hungar. 46 (2003) 119-133
  • [12] M. Dhanalakshmi, K. Alli, On new articulation of contra µ?+-continuous in simple extended topological spaces. World Scientific News 117 (2019) 183-188
  • [13] S. Episkoposian. On the existence of universal series by trigonometric system. J. Funct. Anal. 230 (2006) 169-183
  • [14] M. Grigorian, S. Episkoposian. On universal trigonometric series in weighted spaces. East J. Approx. 5 (1999) 483-492
  • [15] P. Gnanachandra, M. Lellis Thivagar, A New Notion of Star Open Sets in Soft Topological Spaces. World Scientific News 144 (2020) 196-207
  • [16] Stetkær, H. Trigonometric functional equations of rectangular type. Aequ. math. 56, 251–270 (1998). https://doi.org/10.1007/s000100050061
  • [17] van Diejen, J., Vinet, L. The Quantum Dynamics of the Compactified Trigonometric Ruijsenaars–Schneider Model. Comm Math Phys 197, 33–74 (1998). https://doi.org/10.1007/s002200050442
Document Type
article
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YADDA identifier
bwmeta1.element.psjd-a8fe47e9-facc-41d9-890c-91a2f25d38d5
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