Öz
In this paper we have introduced two new class of numerical sequences, named almost monotone decreasing increasing upper second mean sequences. Moreover, we have presented some results on trigonometric approximation of functions by means of a special transformation related to the partial sums of a Fourier series.
Anahtar Kelimeler
Numerical sequences classes Lip α p x trigonometric approximation Lp x norm
Kaynakça
- Hardy, G. H., Divergent series, Oxford University Press, 1949.
- Chandra, P., (1986), Approximation by N¨orlund operators, Mat. Vesnik, 38, 263–269.
- Chandra, P., (1986), Functions of classes Lpand Lip(α, p) and their Riesz means, Riv. Math. Univ. Parma., 4, 275–282.
- Chandra, P., (1990), A note on degree of approximation by N¨orlund and Riesz operators, Mat. Vesnik, , 9–10.
- Chandra, P., (2002), Trigonometric approximation of functions in Lp-norm, J. Math. Anal. Appl., , 13–26.
- Diening, L., (2004), Maximal function on generalized Lebesgue spaces Lp(x), Math. Inequal. Appl., Vol. 7, No. 2, 245–253.
- Guven, A. and Israfilov, D., (2010), Trigonometric approximation in generalized Lebesgue spaces
- Lp(x), J. Math. Inequal., Vol. 4, No. 2, 285–299. Ky, N. X., (1997), Moduli of mean smoothness and approximation withAp-weights, Ann. Univ. Sci. Budap., Vol. 40,37–48.
- Leindler, L., (2005), Trigonometric approximation of functions in Lp-norm, J. Math. Anal. Appl., Vol. , 129–136.
- Mohapatra,R. N. and Russell, D. C., (1983), Some direct and inverse theorems in approximation of functions, J. Aust. Math. Soc. (Ser. A), 34, 143–154.
- Quade, E. S., (1937), Trigonometric approximation in the mean, Duke Math. J., 3, 529–542.
- Sharapudinov, I. I., (2007), Some problems in approximation theory in the space Lp(x), (Russian), Anal. Math., 33, 135–153.
- Szal, B., (2009), Trigonometric approximation by N¨orlund type means in Lp-norm, Comment. Math.
- Univ. Carolin., Vol. 50 , No. 4, 575–589.
Öz
Kaynakça
- Hardy, G. H., Divergent series, Oxford University Press, 1949.
- Chandra, P., (1986), Approximation by N¨orlund operators, Mat. Vesnik, 38, 263–269.
- Chandra, P., (1986), Functions of classes Lpand Lip(α, p) and their Riesz means, Riv. Math. Univ. Parma., 4, 275–282.
- Chandra, P., (1990), A note on degree of approximation by N¨orlund and Riesz operators, Mat. Vesnik, , 9–10.
- Chandra, P., (2002), Trigonometric approximation of functions in Lp-norm, J. Math. Anal. Appl., , 13–26.
- Diening, L., (2004), Maximal function on generalized Lebesgue spaces Lp(x), Math. Inequal. Appl., Vol. 7, No. 2, 245–253.
- Guven, A. and Israfilov, D., (2010), Trigonometric approximation in generalized Lebesgue spaces
- Lp(x), J. Math. Inequal., Vol. 4, No. 2, 285–299. Ky, N. X., (1997), Moduli of mean smoothness and approximation withAp-weights, Ann. Univ. Sci. Budap., Vol. 40,37–48.
- Leindler, L., (2005), Trigonometric approximation of functions in Lp-norm, J. Math. Anal. Appl., Vol. , 129–136.
- Mohapatra,R. N. and Russell, D. C., (1983), Some direct and inverse theorems in approximation of functions, J. Aust. Math. Soc. (Ser. A), 34, 143–154.
- Quade, E. S., (1937), Trigonometric approximation in the mean, Duke Math. J., 3, 529–542.
- Sharapudinov, I. I., (2007), Some problems in approximation theory in the space Lp(x), (Russian), Anal. Math., 33, 135–153.
- Szal, B., (2009), Trigonometric approximation by N¨orlund type means in Lp-norm, Comment. Math.
- Univ. Carolin., Vol. 50 , No. 4, 575–589.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Aralık 2014 |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 4 Sayı: 2 |