Polyharmonic Hardy spaces on the Complexified Annulus and Error estimates of Cubature formulas
O Kounchev, H Render - Results in Mathematics, 2012 - Springer
The present paper has a twofold contribution: first, we introduce a new concept of Hardy
spaces on a multidimensional complexified annular domain which is closely related to the …
spaces on a multidimensional complexified annular domain which is closely related to the …
Inequalities for exponential polynomials with applications to moment sequences
O Kounchev, H Render, T Tsachev - arXiv preprint arXiv:2409.18136, 2024 - arxiv.org
Let $\Phi_ {\Lambda_ {n}} $ be the unique solution of the differential operator $ L=\prod_ {j=
0}^{n}\left (\frac {d}{dx}-\lambda_ {j}\right) $ such that $\Phi_ {\Lambda_ {n}}^{\left (j\right)}\left …
0}^{n}\left (\frac {d}{dx}-\lambda_ {j}\right) $ such that $\Phi_ {\Lambda_ {n}}^{\left (j\right)}\left …
Relation between Exponential Moment problem and Classical Moment problem
O Kounchev, H Render, T Tsachev - arXiv preprint arXiv:2412.19822, 2024 - arxiv.org
arXiv:2412.19822v1 [math.CA] 16 Dec 2024 Page 1 arXiv:2412.19822v1 [math.CA] 16 Dec
2024 Relation between Exponential Moment problem and Classical Moment problem O …
2024 Relation between Exponential Moment problem and Classical Moment problem O …
A Fourier series approach to cubature formulas for integrals on the disk witha non-smooth weight function
O Kounchev, H Render - 2022 - researchsquare.com
We study a new cubature formula for the evaluation of an integral over the disk with respect
to a weight function. The method is based on an analysis of the Fourier series of the weight …
to a weight function. The method is based on an analysis of the Fourier series of the weight …
Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to Polyharmonic Interpolation and Cubature Formulas
O Kounchev, H Render - arXiv preprint arXiv:1205.6414, 2012 - arxiv.org
In the present paper we introduce a new concept of Hardy type space naturally defined on
the Klein-Dirac quadric. We study different properties of the functions belonging to these …
the Klein-Dirac quadric. We study different properties of the functions belonging to these …
[HTML][HTML] Truncated Multi-index Sequences Have an Interpolating Measure
H Choi, S Yoo - Kyungpook Mathematical Journal, 2022 - kmj.knu.ac.kr
In this note we observe that any truncated multi-index sequence has an interpolating
measure supported in Euclidean space. It is well known that the consistency of a truncated …
measure supported in Euclidean space. It is well known that the consistency of a truncated …
[PDF][PDF] Error Estimates for Polyharmonic Cubature Formulas
H Render, O Kounchev - Dolomites Research Notes …, 2013 - drna.padovauniversitypress.it
In the present article we shall present basic features of a polyharmonic cubature formula of
degree s and corresponding error estimates. Main results are Markov-type error estimates …
degree s and corresponding error estimates. Main results are Markov-type error estimates …
Any multi-index sequence has an interpolating measure
H Choi, S Yoo - arXiv preprint arXiv:2012.07258, 2020 - arxiv.org
RP Boas showed that any single-index sequence $\left\{\beta_i\right\} _ {i= 0}^\infty $ of real
numbers can be represented as $\beta_i=\int_0^\infty x^ i\, d\mu $($ i= 0, 1, 2,\ldots $) …
numbers can be represented as $\beta_i=\int_0^\infty x^ i\, d\mu $($ i= 0, 1, 2,\ldots $) …
A new cubature formula with weight functions on the disc, with error estimates
O Kounchev, H Render - arXiv preprint arXiv:1509.00283, 2015 - arxiv.org
We introduce a new type of cubature formula for the evaluation of an integral over the disk
with respect to a weight function. The method is based on an analysis of the Fourier series of …
with respect to a weight function. The method is based on an analysis of the Fourier series of …
Discrete Hybrid Polyharmonic Cubature Formulas with weight on the disc. with error bounds
O Kounchev, H Render - arXiv preprint arXiv:1509.00060, 2015 - arxiv.org
arXiv:1509.00060v1 [math.NA] 31 Aug 2015 Page 1 arXiv:1509.00060v1 [math.NA] 31 Aug
2015 Discrete Hybrid Polyharmonic Cubature Formulas with weight on the disc. with error …
2015 Discrete Hybrid Polyharmonic Cubature Formulas with weight on the disc. with error …