Modulus of smoothness and \(K\)-functionals constructed by generalized Laguerre-Bessel operator

DOI10.2478/tmmp-2022-0008OpenAlexW4310282510MaRDI QIDQ2107428

Larbi Rakhimi, Radouan Daher

Publication date: 1 December 2022

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmmp-2022-0008

zbMATH Keywords

\(K\)-functionalmodulus of smoothnessgeneralized translation operatorJackson's theoremsLaguerre-Bessel transform

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Approximation by positive operators (41A36)

Related Items

\(K\)-functional related to the deformed Hankel transform, Laguerre-Bessel transform and generalized Lipschitz classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations
• Equivalence of K-functionals and modulus of smoothness generated by a Bessel type operator on the interval \([0,1\)]
• Lipschitz conditions in Laguerre hypergroup
• Equivalence of $K$-functionals and modulus of smoothness for Laguerre type operator
• Moduli of smoothness and \(K\)-functional in \(L_2(\mathbb{R}_q^+)\)-space with power weight
• Mean Summability Methods for Laguerre Series
• Uncertainty principle inequalities related to Laguerre-Bessel transform
• Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform
• Lévy-Khintchine formula and dual convolution semigroups associated with Laguerre and Bessel functions