1 citations · 1 across the 7 of their papers we have counts for
8 papers · 1 filter
On the sharpness of one inequality of different metrics for algebraic polynomials
Roman Veprintsev
We prove that the previously established inequality of different metrics for algebraic polynomials is sharp in the sense of order.
On an inequality of different metrics for algebraic polynomials
Roman Veprintsev
We establish an inequality of different metrics for algebraic polynomials.
On Paley-type and Hausdorff-Young-Paley-type inequalities for Jacobi expansions
Roman Veprintsev
We obtain Paley-type and Hausdorff-Young-Paley-type inequalities for Jacobi expansions.
Dunkl harmonic analysis and fundamental sets of functions on the unit sphere
Roman Veprintsev
Using Dunkl theory, we introduce into consideration some weighted -spaces on and on the unit Euclidean sphere , . Then we define a family o…
On Paley-type and Hausdorff-Young-Paley-type inequalities for generalized Gegenbauer expansions
Roman Veprintsev
We establish Paley-type and Hausdorff-Young-Paley-type inequalities for generalized Gegenbauer expansions.
Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere
Roman Veprintsev
We establish a necessary and sufficient condition on a continuous function on under which the family of functions on the unit sphere constructed in the…
On Hardy-Littlewood-type and Hausdorff-Young-type inequalities for generalized Gegenbauer expansions
Roman Veprintsev
Using well-known techniques, we establish Hardy-Littlewood-type and Hausdorff-Young-type inequalities for generalized Gegenbauer expansions and their unification.
On the asymptotic behavior of the maximum absolute value of generalized Gegenbauer polynomials
Roman Veprintsev
Using well-known facts on Jacobi polynomials, we derive some asymptotic estimates for the maximum absolute value of generalized Gegenbauer polynomials.