Research Article

INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES

Volume: 40 Number: 2 February 1, 2011
  • Ramazan Akgün
EN TR

INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES

Abstract

In the present article some inequalities of trigonometric approximation are proved in Orlicz spaces generated by a quasiconvex Young function. Also, the main one-sided approximation problems are investigated.

Keywords

References

  1. Akg¨un, R. Approximating polynomials for functions of weighted Smirnov-Orlicz spaces, J. Funct. Spaces Appl., to appear.
  2. Akg¨un R. and Israfilov D. M. Simultaneous and converse approximation theorems in weighted Orlicz space, Bull. Belg. Math. Soc. Simon Stevin 17, 13–28, 2010.
  3. Akg¨un R. and Israfilov D. M. Approximation in weighted Orlicz spaces, Math. Slovaca, to appear.
  4. Doronin V. G. and Ligun A. A. Best one-sided approximation of the classes WrV(r > −1) by trigonometric polynomials in the Lmetric, Mat. Zametki 22 (3) (in Russian), 357–370, 1977.
  5. Israfilov D. M. and Guven A. Approximation by trigonometric polynomials in weighted Orlicz spaces, Studia Math. 174 (2), 147–168, 2006.
  6. Samko S. G., Kilbas A. A. and Marichev O. I. Fractional Integrals and Derivatives, Theory and Applications(Gordon and Breach Science Publishers, Yverdon, 1993).
  7. Zygmund A. Trigonometric Series (Cambridge University Press, New York, 1959).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ramazan Akgün This is me

Publication Date

February 1, 2011

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2011 Volume: 40 Number: 2

APA
Akgün, R. (2011). INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES. Hacettepe Journal of Mathematics and Statistics, 40(2), 231-240. https://izlik.org/JA57HE95UN
AMA
1.Akgün R. INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES. Hacettepe Journal of Mathematics and Statistics. 2011;40(2):231-240. https://izlik.org/JA57HE95UN
Chicago
Akgün, Ramazan. 2011. “INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES”. Hacettepe Journal of Mathematics and Statistics 40 (2): 231-40. https://izlik.org/JA57HE95UN.
EndNote
Akgün R (February 1, 2011) INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES. Hacettepe Journal of Mathematics and Statistics 40 2 231–240.
IEEE
[1]R. Akgün, “INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, pp. 231–240, Feb. 2011, [Online]. Available: https://izlik.org/JA57HE95UN
ISNAD
Akgün, Ramazan. “INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES”. Hacettepe Journal of Mathematics and Statistics 40/2 (February 1, 2011): 231-240. https://izlik.org/JA57HE95UN.
JAMA
1.Akgün R. INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES. Hacettepe Journal of Mathematics and Statistics. 2011;40:231–240.
MLA
Akgün, Ramazan. “INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, Feb. 2011, pp. 231-40, https://izlik.org/JA57HE95UN.
Vancouver
1.Ramazan Akgün. INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES. Hacettepe Journal of Mathematics and Statistics [Internet]. 2011 Feb. 1;40(2):231-40. Available from: https://izlik.org/JA57HE95UN