Extremal problems, inequalities, and classical orthogonal polynomials

Applied Mathematics and Computation

Volumn 128, Issue 2-3, 2002, Pages 151-166

  Agarwal, Ravi P ^a   Milovanovi, Gradimir V ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b UNIVERSITY OF NI   (Serbia)

Author keywords

Characterization; Classical orthogonal polynomials; Differential equation; Extremal problems; Inequalities; Kolmogoroff type polynomial inequalities; Landau inequality; Markov Bernstein inequality; Norm; Weight function

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; MARKOV PROCESSES; MATHEMATICAL OPERATORS; THEOREM PROVING;

ORTHOGONAL POLYNOMIALS;

POLYNOMIALS;

EID: 0037172329     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00070-4     Document Type: Article

References (48)

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3. Characterization theorems for orthogonal polynomials
4. Landau and Kolmogoroff type polynomial inequalities
5. Classical orthogonal polynomials
6. Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
7. The Hahn and Meixner polynomials of an imaginary argument and some of their applications
8. Sur l'ordre de la meilleure approximation des fonctions continues par des polynômes de degré donné
9. Über sturm-liouvillesche polynomsysteme
10. On a polynomial inequality of Kolmogoroff's type
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14. Contribution à l'étude des fonctions dérivables d'une variable réelle
15. 2-norm
16. 2 Markoff type inequality for classical weights
17. 2-analogues of Bernstein's inequality and classical orthogonal polynomials
18. Extremal problems of Markov's type for some differential operators
19. Remark on the Landau-Kallman-Rota inequality
20. On some generalizations of a theorem of A. Markoff
21. The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
22. On inequalities between upper bounds of the successive derivatives of an arbitrary function on an infinite interval
23. Estimation of the derivatives of polynomials
24. Einige ungleichungen für zweimal differenzierbare funktionen
25. Die charakterisierung der klassischen orthogonalen polynome durch sturm-liouvillesche differentialgleichungen
26. On some functional inequalities
27. Various extremal problems of Markov's type for algebraic polynomials
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29. 2(0,∞)
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39. A new characterization of Hermite polynomials