Name
Abstract | ||
|---|---|---|
In this survey paper we give a short account on characterizations for very classical orthogonal polynomials via extremal problems and the corresponding inequalities. Besides the basic properties of the classical orthogonal polynomials, we consider polynomial inequalities of Landau and Kolmogoroff type, some weighted polynomial inequalities in L2-norm of Markov-Bernstein type, as well as the corresponding connections with the classical orthogonal polynomial. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1016/S0096-3003(01)00070-4 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Classical orthogonal polynomials,Characterization,Weight function,Norm,Extremal problems,Inequalities,Markov–Bernstein inequality,Landau inequality,Kolmogoroff type polynomial inequalities,Differential equation | Wilson polynomials,Mathematical optimization,Koornwinder polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Discrete orthogonal polynomials,Jacobi polynomials,Hahn polynomials,Mathematics,Difference polynomials | Journal |
Volume | Issue | ISSN |
128 | 2-3 | Applied Mathematics and Computation |
Citations | PageRank | References |
5 | 0.83 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ravi P. Agarwal | 1 | 127 | 51.30 |
| Gradimir V. Milovanović | 2 | 45 | 11.62 |