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Yıl 2017, Cilt: 5 Sayı: 1, 99 - 105, 01.04.2017

Öz

Kaynakça

  • [1] E. A. Al Zahran, H. El Mir and M. A. Mourou: Intertwining operators associated with a Dunkl type operator on the real line and applications. Far East J. Appl. Math. Appl. 64(2), 129-144 (2012).
  • [2] E. A. Al Zahrani and M. A. Mourou: The continuous wavelet transform associated with a Dunkl type operator on the real line. Adv. Pure Math. 3(5), 443-450 (2013).
  • [3] E. C. Titchmarsh: Introduction to the theory of Fourier integrals. Claredon, oxford, (1948), Komkniga. Moxow. (2005).
  • [4] E. S. Belkina and S. S. Platonov: Equivalence of K-functionals and modulus of smoothness constructed by generalized Dunkl translations. Izv. Vyssh. Uchebn. Zaved. Mat 8, 315 (2008).
  • [5] R. F. Al Subaie and M. A. Mourou: Equivalence of K-functionals and modulus of smoothness generated by a generalized Dunkl operator on the real line. Adv. Pure Math. 5(6), 367-376 (2015).
  • [6] R. F. Al Subaie and M. A. Mourou: The equivalence theorem for a K-functional and a modulus of smoothness constructed by a singular differential-difference operator on R. BJMCS, 10(4), 1-14 (2015). DOI: 10.9734/BJMCS/2015/19652.

$Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$

Yıl 2017, Cilt: 5 Sayı: 1, 99 - 105, 01.04.2017

Öz

In this paper, we prove the generalization of Titchmarsh's theorem for the generalized Fourier transform for functions satisfying the $Q$-Fourier Lipschitz condition in the space $L^{2}_{Q}(\mathbb{R})$.

Kaynakça

  • [1] E. A. Al Zahran, H. El Mir and M. A. Mourou: Intertwining operators associated with a Dunkl type operator on the real line and applications. Far East J. Appl. Math. Appl. 64(2), 129-144 (2012).
  • [2] E. A. Al Zahrani and M. A. Mourou: The continuous wavelet transform associated with a Dunkl type operator on the real line. Adv. Pure Math. 3(5), 443-450 (2013).
  • [3] E. C. Titchmarsh: Introduction to the theory of Fourier integrals. Claredon, oxford, (1948), Komkniga. Moxow. (2005).
  • [4] E. S. Belkina and S. S. Platonov: Equivalence of K-functionals and modulus of smoothness constructed by generalized Dunkl translations. Izv. Vyssh. Uchebn. Zaved. Mat 8, 315 (2008).
  • [5] R. F. Al Subaie and M. A. Mourou: Equivalence of K-functionals and modulus of smoothness generated by a generalized Dunkl operator on the real line. Adv. Pure Math. 5(6), 367-376 (2015).
  • [6] R. F. Al Subaie and M. A. Mourou: The equivalence theorem for a K-functional and a modulus of smoothness constructed by a singular differential-difference operator on R. BJMCS, 10(4), 1-14 (2015). DOI: 10.9734/BJMCS/2015/19652.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

S. El Ouadıh

R. Daher

Yayımlanma Tarihi 1 Nisan 2017
Gönderilme Tarihi 17 Şubat 2017
Kabul Tarihi 23 Ağustos 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA Ouadıh, S. E., & Daher, R. (2017). $Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$. Konuralp Journal of Mathematics, 5(1), 99-105.
AMA Ouadıh SE, Daher R. $Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$. Konuralp J. Math. Nisan 2017;5(1):99-105.
Chicago Ouadıh, S. El, ve R. Daher. “$Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$”. Konuralp Journal of Mathematics 5, sy. 1 (Nisan 2017): 99-105.
EndNote Ouadıh SE, Daher R (01 Nisan 2017) $Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$. Konuralp Journal of Mathematics 5 1 99–105.
IEEE S. E. Ouadıh ve R. Daher, “$Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$”, Konuralp J. Math., c. 5, sy. 1, ss. 99–105, 2017.
ISNAD Ouadıh, S. El - Daher, R. “$Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$”. Konuralp Journal of Mathematics 5/1 (Nisan 2017), 99-105.
JAMA Ouadıh SE, Daher R. $Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$. Konuralp J. Math. 2017;5:99–105.
MLA Ouadıh, S. El ve R. Daher. “$Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$”. Konuralp Journal of Mathematics, c. 5, sy. 1, 2017, ss. 99-105.
Vancouver Ouadıh SE, Daher R. $Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$. Konuralp J. Math. 2017;5(1):99-105.
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