Tauberian conditions with controlled oscillatory behavior
Copyright policy )Tauberian conditions with controlled oscillatory behavior
The authors generalize the Tauberian theorems of Tauber and of Hardy and Littlewood of the Abel summability method. The conditions of the main theorem are stated in terms of the control modulo of the oscillatory behaviour of the sequence involved.
- Ege University Turkey
- Adnan Menderes University Turkey
- Süleyman Şah University Turkey
- Süleyman Demirel University Turkey
Abel, Borel and power series methods, slow decrease, Tauberian theorems, Abel summability, Applied Mathematics, General control modulo, Tauberian theorem, Tauberian conditions, Slow oscillation, One-sided slow oscillation, Rate of growth of functions, orders of infinity, slowly varying functions, slow oscillation, Slow decreasing
Abel, Borel and power series methods, slow decrease, Tauberian theorems, Abel summability, Applied Mathematics, General control modulo, Tauberian theorem, Tauberian conditions, Slow oscillation, One-sided slow oscillation, Rate of growth of functions, orders of infinity, slowly varying functions, slow oscillation, Slow decreasing
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