Preferences help
enabled [disable] Abstract
Number of results
2021 | 158 | 72-90
Article title

Rumination on Trigonometric Topological Spaces

Title variants
Languages of publication
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.
Physical description
  • Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Autonomous), SivakasI - 626 124, Tamil Nadu, India
  • Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Autonomous), SivakasI - 626 124, Tamil Nadu, India
  • [1] James R. Munkres. Topology. 2nd ed., Prentice-Hall of India Private Limited, New Delhi, 2002.
  • [2] S. Malathi and R. Usha Parameswari. On trigonometric topological spaces. Advances in Mathematics: Scientific Journal 9(5) (2020) 2477-2488.
  • [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.
  • [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.
  • [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,
  • [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).
  • [9] AkgünR. 2011. Trigonometric Approximation of Functions in Generalized Lebesgue Spaces With Variable Exponent. Ukrains’kyi Matematychnyi Zhurnal 63 (1), 3-23.
  • [10] S. Shkarin, Pointwise universal trigonometric series. Journal of Mathematical Analysis and Applications, Volume 360, Issue 2, 2009, Pages 754-758,
  • [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).
  • [17] van Diejen, J., Vinet, L. The Quantum Dynamics of the Compactified Trigonometric Ruijsenaars–Schneider Model. Comm Math Phys 197, 33–74 (1998).
Document Type
Publication order reference
YADDA identifier
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.