Inequalities for the First and Second Derivatives of Algebraic Polynomials on an Ellipse
We prove a theorem on the preservation of inequalities between functions of a special form after differentiation on an ellipse. In particular, we obtain generalizations of the Duffin–Schaeffer inequality and the Vidensky inequality for the first and second derivatives of algebraic polynomials to an ellipse.
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1985 ◽
Vol 50
(4)
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pp. 791-798
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Keyword(s):
1990 ◽
Vol 112
(1)
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pp. 83-87
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1983 ◽
Vol 105
(3)
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pp. 200-202
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2006 ◽
Vol 46
(11)
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pp. 1835-1859
2015 ◽
Vol 113
(13-14)
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pp. 1961-1977
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1985 ◽
Vol 83
(6)
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pp. 2653-2660
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