Hardy-Bohr Positivity
Copyright policy )Hardy-Bohr Positivity
The authors consider two general principles that lead to the Hardy-Bohr positivity. They prove two theorems, one on the HB-property of the diapositive inverse triangles \(A(a_{nk})\) and another on the Hardy-Bohr positivity of two convolution triangles with Hardy-Bohr positivity. These theorems are applied to prove that the Cesàro methods \((c, \alpha)\) for \(\alpha \geq 1\) have HB positivity. Finally the authors comment on the Nörlund methods which are not Cesàro-like and have Hardy-Bohr positivity.
Hardy-Bohr positivity, Matrix methods for summability, matrix methods, Special methods of summability, summability, sequence, Cesàro method, Nörlund methods, Sequence spaces (including Köthe sequence spaces), Functional analytic methods in summability
Hardy-Bohr positivity, Matrix methods for summability, matrix methods, Special methods of summability, summability, sequence, Cesàro method, Nörlund methods, Sequence spaces (including Köthe sequence spaces), Functional analytic methods in summability
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