Inequalities for analytic functions
E451538
"Inequalities for analytic functions" is a mathematical work by Gábor Szegő that develops fundamental bounds and estimates for complex analytic functions, particularly in the context of complex analysis and approximation theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Inequalities for analytic functions canonical | 1 |
Statements (40)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical work
ⓘ
research monograph ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| associatedWith |
20th-century mathematics
ⓘ
Hungarian mathematical school NERFINISHED ⓘ |
| author | Gábor Szegő NERFINISHED ⓘ |
| contributesTo |
approximation theory of analytic functions
ⓘ
classical complex analysis ⓘ theory of analytic function inequalities ⓘ |
| contributor | Gábor Szegő NERFINISHED ⓘ |
| field |
approximation theory
ⓘ
complex analysis ⓘ mathematics ⓘ |
| focusesOn |
boundary behavior of analytic functions
ⓘ
coefficient estimates ⓘ complex-valued analytic functions ⓘ extremal problems in complex analysis ⓘ growth of analytic functions ⓘ maximum modulus estimates ⓘ orthogonal polynomials ⓘ polynomial approximation ⓘ |
| genre | mathematics book ⓘ |
| hasInfluenceOn |
later work on extremal problems for analytic functions
ⓘ
research on bounds for polynomials and power series ⓘ |
| language | English ⓘ |
| mainSubject |
analytic functions
ⓘ
bounds for analytic functions ⓘ estimates for analytic functions ⓘ inequalities ⓘ |
| relatedTo |
Bernstein-type inequalities
ⓘ
Cauchy estimates for derivatives ⓘ Fourier series of analytic functions ⓘ Hadamard three-circle theorem NERFINISHED ⓘ Jensen’s formula NERFINISHED ⓘ Markov-type inequalities ⓘ maximum modulus principle ⓘ orthogonal polynomials on the unit circle ⓘ |
| usedIn |
graduate-level study of complex analysis
ⓘ
research in approximation theory ⓘ research on extremal analytic problems ⓘ |
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Input
Subject: Inequalities for analytic functions Description of subject: "Inequalities for analytic functions" is a mathematical work by Gábor Szegő that develops fundamental bounds and estimates for complex analytic functions, particularly in the context of complex analysis and approximation theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.