On power series with positive coefficients
Copyright policy )On power series with positive coefficients
Some classical inequalities of Hardy and Littlewood are generalized initiated by the idea of M. Mateljevic and M. Pavlovic. Roughly speaking, the special functions \(x^ \alpha\) and \(x^ p\) appearing in the inequalities of Hardy and Littlewood are replaced by more general functions \(\alpha (x)\) and \(\Phi (x)\), furthermore, the so-called ``blocking method'' is used to get some slight improvement in the classical cases, too.
inequalities of Hardy and Littlewood, blocking method, Convergence and divergence of series and sequences, Inequalities for sums, series and integrals, General harmonic expansions, frames, power series, Power series (including lacunary series) in one complex variable
inequalities of Hardy and Littlewood, blocking method, Convergence and divergence of series and sequences, Inequalities for sums, series and integrals, General harmonic expansions, frames, power series, Power series (including lacunary series) in one complex variable
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