Turán inequalities for symmetric Askey-Wilson polynomials (Q5928683)
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scientific article; zbMATH DE number 1583378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Turán inequalities for symmetric Askey-Wilson polynomials |
scientific article; zbMATH DE number 1583378 |
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Turán inequalities for symmetric Askey-Wilson polynomials (English)
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1 April 2001
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basic hypergeometric functions
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basic hypergeoemtric polynomials
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0.93901837
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0.8915283
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0.8829152
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0.8809749
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0.8800919
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0.87971306
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The authors study a renormalized \(A-W\) polynomial \(V_n(x)\). Using the Szász technique they establish the inequalities NEWLINE\[NEWLINE0\leq V_n^2(x)-V_{n+1} (x)V_{n-1} (x)\leq K,NEWLINE\]NEWLINE where \(K\) is independent of \(x\). The two inequalities hold under certain conditions upon parameters and variable.
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