Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Octav Olteanu"'
Autor:
Octav Olteanu
Publikováno v:
Mathematics, Vol 12, Iss 18, p 2878 (2024)
We start by an application the of Krein–Milman theorem to the integral representation of completely monotonic functions. Elements of convex optimization are also mentioned. The paper continues with applications of Hahn–Banach-type theorems and po
Externí odkaz:
https://doaj.org/article/4eafb0c44c2a43a5b9dfa5487c2e5806
Autor:
Octav Olteanu
Publikováno v:
Symmetry, Vol 16, Iss 2, p 152 (2024)
The properties of the unique nontrivial analytic solution, defined implicitly by a functional equation, are pointed out. This work provides local estimations and global inequalities for the involved solution. The corresponding operatorial equation is
Externí odkaz:
https://doaj.org/article/57b030d8391e483a863139475b7ac5cd
Autor:
Octav Olteanu
Publikováno v:
Electronic Journal of Mathematics, Vol 2, Pp 1-14 (2021)
Externí odkaz:
https://doaj.org/article/08e5b68778c74b8da9b8bd842bac2f27
Autor:
Octav Olteanu
Publikováno v:
Symmetry, Vol 15, Iss 7, p 1471 (2023)
The purpose of this work is to provide applications of real, complex, and functional analysis to moment, interpolation, functional equations, and optimization problems. Firstly, the existence of the unique solution for a two-dimensional full Markov m
Externí odkaz:
https://doaj.org/article/cf912faec2f44d81a162c23f2989912a
Autor:
Octav Olteanu
Publikováno v:
Contributions to Mathematics, Vol 3, Pp 29-36 (2021)
Externí odkaz:
https://doaj.org/article/03deebc7615a40c0a935013da74f9e03
Autor:
Octav Olteanu
Publikováno v:
Symmetry, Vol 14, Iss 12, p 2665 (2022)
This Special Issue consists of 11 papers recently published in MDPI’s journal Symmetry under the general thematic title “Symmetry in Mathematical Analysis and Functional Analysis” (see [...]
Externí odkaz:
https://doaj.org/article/020f5d59ac194d019bb723443594a913
Autor:
Octav Olteanu
Publikováno v:
Symmetry, Vol 15, Iss 1, p 76 (2022)
First, this paper provides characterizing the existence and uniqueness of the linear operator solution T for large classes of full Markov moment problems on closed subsets F of Rn. One uses approximation by special nonnegative polynomials. The case w
Externí odkaz:
https://doaj.org/article/a2f404672d5c4e52bc5788187a18cd54
Autor:
Octav Olteanu
Publikováno v:
Mathematics, Vol 10, Iss 18, p 3288 (2022)
As is well-known, unlike the one-dimensional case, there exist nonnegative polynomials in several real variables that are not sums of squares. First, we briefly review a method of approximating any real-valued nonnegative continuous compactly support
Externí odkaz:
https://doaj.org/article/a6c39d5d62304d7d8b07cfba6ee65edb
Autor:
Octav Olteanu
Publikováno v:
Mathematics, Vol 10, Iss 15, p 2775 (2022)
The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Mark
Externí odkaz:
https://doaj.org/article/d422e916d3c34c0aa72c04b1bc3ef3d6
Autor:
Octav Olteanu
Publikováno v:
Symmetry, Vol 14, Iss 7, p 1390 (2022)
This paper provides a uniform boundedness theorem for a class of convex operators, such as Banach–Steinhaus theorem for families of continuous linear operators. The case of continuous symmetric sublinear operators is outlined. Second, a general the
Externí odkaz:
https://doaj.org/article/94f0a2f635b64a778b4d6da5cdcd0a17