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Inequalities for Walsh Polynomials with Semi-Monotone and Semi-Convex Coefficients
Petrovic inequality Walsh polynomial Complex semi-convex coefficients Complex convex coefficients Complex semi-monotone coefficients Complex monotone coefficients Fine inequality
2008/7/1
Using the concept of majorant sequences (see [4,ch. XXI], [5], [7], [8]) some new inequalities for Walsh polynomials with complex semi-monotone, complex semi-convex, complex monotone and complex conve...
On the Behavior of $r-$derivative Near the Origin of Sine Series with Convex Coefficients
Sine series Convex coefficients
2008/6/27
In this paper we will give the behavior of the r-derivative near origin of sine series with convex coefficients.