African Diaspora Journal of Mathematics

Inverse Problems and Approximations in Quantum Calculus

S. Chefai, L. Dhaouadi, and A. Fitouhi

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In this paper we study in quantum calculus the theory of inverse problem and approximation in a large class of Hilbert spaces with reproducing kernels.

Article information

Afr. Diaspora J. Math. (N.S.), Volume 17, Number 1 (2014), 75-84.

First available in Project Euclid: 20 October 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 33D15: Basic hypergeometric functions in one variable, $_r\phi_s$ 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)

q-Harmonic analysis Hilbert spaces with reproducing kernels Inverse problem approximation extremal function


Chefai, S.; Dhaouadi, L.; Fitouhi, A. Inverse Problems and Approximations in Quantum Calculus. Afr. Diaspora J. Math. (N.S.) 17 (2014), no. 1, 75--84.

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