Full length article: Properties of generalized trigonometric functions

  • Authors:

  • David E. Edmunds;Petr Gurka;Jan Lang

  • Affiliations:

  • Department of Mathematics, University of Sussex, Pevensey 2 Building, Falmer Campus, Brighton BN1 9QH, England, United Kingdom;Department of Mathematics, Czech University of Life Sciences Prague, 165 21 Prague 6, Czech Republic;Department of Mathematics, Ohio State University, 100 Math Tower, 231 West 18th Avenue, Columbus, OH 43210-1174, USA

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2012

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Abstract

Various properties of the generalized trigonometric functions sin"p","q are established. In particular, it is shown that those functions can approximate functions from every space L^r(0,1)(1