Analytical approximation formulas in quantum calculus

DOI10.1177%2F1081286516657683zbMath1395.42006MaRDI QIDQ5374442

Fethi Soltani, Akram Nemri

Publication date: 14 September 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

zbMATH Keywords

approximate formulas\(q\)-Fourier multiplier operatorsGauss-Tikhonov method

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Multipliers in one variable harmonic analysis (42A45)

Cites Work

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• Positivity of the generalized translation associated with the \(q\)-Hankel transform
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Sobolev type spaces in quantum calculus
• Lipschitz-Hankel spaces, partial Hankel integrals and Bochner-Riesz means
• The \textit{q-j}\(_\alpha\) Bessel function
• Analytical and numerical approximation formulas for the Fourier multiplier operators
• The weierstrass transform and an isometry in the heat equation
• Distribution of positive type in Quantum Calculus
• On q-Analogues of the Fourier and Hankel Transforms
• Differential and difference calculus — Unified!
• On a one-parameter family ofq-exponential functions
• On the connection between heat and wave problems in quantum calculus and applications
• Analytical and numerical applications for the Fourier multiplier operators on ℝⁿ× (0, ∞)
• Approximate and analytical inversion formulas in heat conduction on multidimensional spaces
• Inversion formulas in the Dunkl-type heat conduction on
• On Hankel transformation, convolution operators and multipliers on Hardy type spaces

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