Search Results - "El Hamma, M."
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Some inequalities involving Fourier transforms
Published in Afrika mathematica (01-12-2023)“…We obtain new inequalities for the Fourier transform in the space L p ( R n ) , 1 < p ≤ 2 , using a generalized spherical mean operator for proving the…”
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On the equivalence of K-functionals and modulus of smoothness constructed by the generalized Fourier–Bessel transform
Published in Afrika mathematica (01-03-2022)“…Using a generalized translation operator, we define generalized modulus of smoothness in the space L α , n 2 . Based on the generalized Bessel operator we…”
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Moduli of Smoothness and K-Functional in L 2(ℝ q + )-Space with Power Weight
Published in Analysis mathematica (Budapest) (01-09-2019)“…The aim of this article is to establish the equivalence between a K-functional and a modulus of smoothness generated by a q-Bessel type operator on ℝq+ in the…”
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Estimate of K-functionals and modulus of smoothness constructed by generalized spherical mean operator
Published in Proceedings of the Indian Academy of Sciences. Mathematical sciences (01-05-2014)“…Using a generalized spherical mean operator, we define generalized modu-lus of smoothness in the space L k 2 ( ℝ d ) . Based on the Dunkl operator we define…”
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GENERALIZATION OF TITCHMARSH’ S THEOREM FOR THE FIRST HANKEL-CLIFFORD TRANSFORM IN THE SPACE 𝑳(^𝑷 _𝝁) ((𝟎, + ∞))
Published in Issues of analysis (01-10-2022)“…Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ( [14], theorem 84) for the first Hankel-Clifford…”
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An analog of the Titchmarsh’s theorem for the first Hankel-Clifford transform
Published in The Journal of Analysis (01-12-2021)Get full text
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Moduli of Smoothness and K-Functional in L2(ℝq+)-Space with Power Weight
Published in Analysis mathematica (Budapest) (01-09-2019)“…The aim of this article is to establish the equivalence between a K -functional and a modulus of smoothness generated by a q -Bessel type operator on ℝ q + in…”
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On estimates for the Fourier transform in the space $$\mathrm {L}^{p}(\mathbb {R}^{n})$$ L p ( R n )
Published in Afrika mathematica (01-12-2015)Get full text
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On estimates for the Fourier transform in the space Lp(Rn)
Published in Afrika mathematica (2015)“…In this paper, we prove two estimates useful in applications for the Fourier transform in the space L p ( R n ) , 1 < p ≤ 2 , as applied to some classes of…”
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10
An analog of Titchmarsh’s theorem for the generalized Fourier–Bessel Transform
Published in Lobachevskii journal of mathematics (01-03-2016)“…Using a generalized translation operator, we obtain an analog of Titchmarsh’s theorem for the generalized Fourier–Bessel transform for functions satisfying the…”
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Generalization of Titchmarsh’s theorem for the Fourier transform in the Space $$\mathrm {L}^{2}(\mathbb {R}^{n})$$ L 2 ( R n )
Published in Afrika mathematica (01-06-2016)Get full text
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12
New estimates for the Fourier transform in the space L2(Rn)
Published in Boletim da Sociedade Paranaense de Matemática (07-02-2022)“…In this paper, we prove new estimates are presented for the integral \int_{|t|>N}|\widehat(f)(t)|^{2}dt, where \widehat(f) stands for the Fourier transform of…”
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13
Generalization of Titchmarsh’s theorem for the Fourier transform in the Space L2(Rn)
Published in Afrika mathematica (2016)“…In this paper, we prove the generalization of Titchmarsh’s theorem for the Fourier transform for functions satisfying the ( n , α ) -Fourier Lipschitz…”
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14
GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM
Published in International journal of mathematical modelling and computations (Online) (01-07-2016)“…In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses…”
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15
(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)
Published in Karpats'kì matematinì publìkacìï (15-07-2014)“…Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta,…”
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(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\ bb{R}, |x|^{2\alpha+1}dx
Published in Karpats'kì matematinì publìkacìï (01-07-2014)“…Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta,…”
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17
Dunkl Lipschitz functions for the Generalized Fourier-Dunkl Transform in the Space L2
Published in International journal of analysis and applications (01-11-2015)“…In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Dunkl transform in the space L2 on certainclasses of…”
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18
Dunkl Lipschitz functions for the Generalized Fourier-Dunkl Transform in the Space L2
Published in International journal of analysis and applications (01-11-2015)“…In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Dunkl transform in the space L2 on certainclasses of…”
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