Bernstein-Nikolskii-Stechkin inequality and Jackson's theorem for the index Whittaker transform

Function spaces arising in harmonic analysis (42B35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations
On the application of a generalized translation operator in the approximation theory
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Über die Genauigkeit der Annäherung stetiger Funktionen durch ganze rationale Funktionen gegebenen Grades und trigonometrische Summen gegebener Ordnung.
Some equivalence theorems with \(K\)-functionals
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Whittaker-Stockwell transform and Tikhonov regularization problem
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A sharp Jackson inequality in \(L_p (\mathbb{R}^d)\) with Dunkl weight
Generalized Jackson inequality in the space \(L_2(\mathbb{R}^{d})\) with Dunkl weight
Approximation theorems connected with generalized translations
On the product formula and convolution associated with the index Whittaker transform
A note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces
Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform
Lévy processes with respect to the Whittaker convolution
On the generalized Dunkl Dini–Lipschitz spaces
Sharp Bernstein-Nikolskii inequalities for polynomials and entire functions of exponential type
Generalization of Titchmarsh's theorem for the modified Whittaker transform
Titchmarsh's theorems, \(K\)-functional and Jackson's theorems for the free metaplectic transform